Retrieve arXiv Information

Format:

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

@misc{2402.11779,
Author = {W. K. Schief and U. Hertrich-Jeromin and B. G. Konopelchenko},
Title = {Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation},
Year = {2024},
Eprint = {arXiv:2402.11779},
}

@misc{2206.13401,
Author = {Andreas Fuchs and Udo Hertrich-Jeromin and Mason Pember},
Title = {Symmetry breaking in geometry},
Year = {2022},
Eprint = {arXiv:2206.13401},
}

@article{2106.01168,
Author = {Juliette Dubois and Udo Hertrich-Jeromin and Gudrun Szewieczek},
Title = {Notes on flat fronts in hyperbolic space},
Year = {2021},
Eprint = {arXiv:2106.01168},
Doi = {10.1007/s00022-022-00628-4},
}

@article{2104.13441,
Author = {Udo Hertrich-Jeromin and Gudrun Szewieczek},
Title = {Discrete cyclic systems and circle congruences},
Year = {2021},
Eprint = {arXiv:2104.13441},
Doi = {10.1007/s10231-022-01219-5},
}

@misc{1701.02134,
Author = {Shoichi Fujimori and Udo Hertrich-Jeromin and Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada},
Title = {Quadrics and Scherk towers},
Year = {2017},
Eprint = {arXiv:1701.02134},
}

@misc{1602.06682,
Author = {U. Hertrich-Jeromin and A. Honda},
Title = {Minimal Darboux transformations},
Year = {2016},
Eprint = {arXiv:1602.06682},
}

@misc{1507.03394,
Author = {U. Hertrich-Jeromin and K. Mundilova and E. -H. Tjaden},
Title = {Channel linear Weingarten surfaces},
Year = {2015},
Eprint = {arXiv:1507.03394},
}

@misc{math/9802126,
Author = {Alexander I. Bobenko and Udo J. Hertrich-Jeromin},
Title = {Orthogonal nets and Clifford algebras},
Year = {1998},
Eprint = {arXiv:math/9802126},
}

@misc{dg-ga/9704003,
Author = {U. Hertrich-Jeromin and E. -H. Tjaden and M. T. Zuercher},
Title = {On Guichard's nets and Cyclic systems},
Year = {1997},
Eprint = {arXiv:dg-ga/9704003},
}

@misc{dg-ga/9611009,
Author = {Udo Hertrich-Jeromin and Tim Hoffmann and Ulrich Pinkall},
Title = {A discrete version of the Darboux transform for isothermic surfaces},
Year = {1996},
Eprint = {arXiv:dg-ga/9611009},
}

Published:

These BibTeX records are based on arXiv information only. You may prefer getting the more detailed records provided by MathSciNet instead.

@article{2401.10618,
Author = {F. E. Burstall and E. Carberry and U. Hertrich-Jeromin and F. Pedit},
Title = {Isothermic surfaces and conservation laws},
Year = {2024},
Eprint = {arXiv:2401.10618},
Howpublished = {2023 MATRIX Annals, 2025, 135-158},
Doi = {10.1007/978-3-031-76738-8_9},
}

@article{2105.00702,
Author = {Udo Hertrich-Jeromin and Mason Pember and Denis Polly},
Title = {Channel linear Weingarten surfaces in space forms},
Year = {2021},
Eprint = {arXiv:2105.00702},
Howpublished = {Beitr Algebra Geom 64/4, 969--1009 (2023)},
Doi = {10.1007/s13366-022-00664-w},
}

@article{2008.01447,
Author = {F. E. Burstall and J. Cho and U. Hertrich-Jeromin and M. Pember and W. Rossman},
Title = {Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets},
Year = {2020},
Eprint = {arXiv:2008.01447},
Howpublished = {Proc. London Math. Soc. 126 (2023) 790-836},
Doi = {10.1112/plms.12499},
}

@article{1809.01750,
Author = {Udo Hertrich-Jeromin and Wayne Rossman and Gudrun Szewieczek},
Title = {Discrete channel surfaces},
Year = {2018},
Eprint = {arXiv:1809.01750},
Howpublished = {Mathematische Zeitschrift, 1-21, 2019},
Doi = {10.1007/s00209-019-02389-4},
}

@article{1711.04605,
Author = {F. Burstall and U. Hertrich-Jeromin and M. Lara Miro},
Title = {Ribaucour coordinates},
Year = {2017},
Eprint = {arXiv:1711.04605},
Howpublished = {Beitraege Alg. u. Geom. 60 (2019) 39-55},
Doi = {10.1007/s13366-018-0391-9},
}

@article{1707.01713,
Author = {Francis E. Burstall and Udo Hertrich-Jeromin and Mason Pember and Wayne Rossman},
Title = {Polynomial Conserved Quantities of Lie Applicable Surfaces},
Year = {2017},
Eprint = {arXiv:1707.01713},
Howpublished = {manuscripta math. 158 (2019) 505-546},
Doi = {10.1007/s00229-018-1033-0},
}

@article{1602.08180,
Author = {Francis E. Burstall and Udo Hertrich-Jeromin and Yoshihiko Suyama},
Title = {Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics},
Year = {2016},
Eprint = {arXiv:1602.08180},
Howpublished = {Journal of the Mathematical Society of Japan. 70, 2, (2018) 617-649},
Doi = {10.2969/jmsj/07027420},
}

@article{1506.04730,
Author = {F. Burstall and U. Hertrich-Jeromin and C. Mueller and W. Rossman},
Title = {Semi-discrete isothermic surfaces},
Year = {2015},
Eprint = {arXiv:1506.04730},
Howpublished = {Geom. Dedicata 183 (2016) 43-58},
Doi = {10.1007/s10711-016-0143-7},
}

@article{1409.2001,
Author = {A. Bobenko and U. Hertrich-Jeromin and I. Lukyanenko},
Title = {Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality},
Year = {2014},
Eprint = {arXiv:1409.2001},
Howpublished = {Discrete and Computational Geometry (2014) 52, 612-629},
Doi = {10.1007/s00454-014-9622-5},
}

@article{1406.1293,
Author = {F. Burstall and U. Hertrich-Jeromin and W. Rossman},
Title = {Discrete linear Weingarten surfaces},
Year = {2014},
Eprint = {arXiv:1406.1293},
Howpublished = {Nagoya Math. J. 231, (2018) 55-88},
Doi = {10.1017/nmj.2017.11},
}

@article{1005.4099,
Author = {Francis E. Burstall and Udo Hertrich-Jeromin and Wayne Rossman},
Title = {Lie geometry of flat fronts in hyperbolic space},
Year = {2010},
Eprint = {arXiv:1005.4099},
Howpublished = {Comptes Rendus, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 661-664},
}

@article{0804.2707,
Author = {F Burstall and U Hertrich-Jeromin and W Rossman and S Santos},
Title = {Discrete surfaces of constant mean curvature},
Year = {2008},
Eprint = {arXiv:0804.2707},
Howpublished = {RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179},
}

@article{math/0407244,
Author = {F. E. Burstall and U. Hertrich-Jeromin},
Title = {The Ribaucour transformation in Lie sphere geometry},
Year = {2004},
Eprint = {arXiv:math/0407244},
Howpublished = {Differential Geom. Appl. 24 (2006) 503-520},
Doi = {10.1016/j.difgeo.2006.04.007},
}

@article{math/0103162,
Author = {F. E. Burstall and U. Hertrich-Jeromin},
Title = {Harmonic maps in unfashionable geometries},
Year = {2001},
Eprint = {arXiv:math/0103162},
Howpublished = {manuscripta math. 108 (2002) 171-189},
Doi = {10.1007/s002290200269},
}

@article{math/9908161,
Author = {Udo Hertrich-Jeromin},
Title = {Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space},
Year = {1999},
Eprint = {arXiv:math/9908161},
Howpublished = {manuscripta math. 102, 465-486 (2000)},
}

@article{math/9905112,
Author = {U. Hertrich-Jeromin and I. McIntosh and P. Norman and F. Pedit},
Title = {Periodic discrete conformal maps},
Year = {1999},
Eprint = {arXiv:math/9905112},
Howpublished = {J. reine angew. Math 534 (2001), 129-153},
}

@article{math/9810157,
Author = {Udo Hertrich-Jeromin and Emilio Musso and Lorenzo Nicolodi},
Title = {Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space},
Year = {1998},
Eprint = {arXiv:math/9810157},
Howpublished = {Ann. Global Anal. Appl. 19, 185-205 (2001)},
}

@article{dg-ga/9709019,
Author = {Udo Hertrich-Jeromin},
Title = {Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus},
Year = {1997},
Eprint = {arXiv:dg-ga/9709019},
Howpublished = {Doc. Math. J. DMV 2, 335-350 (1997)},
}

@article{dg-ga/9708003,
Author = {Udo Hertrich-Jeromin},
Title = {The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature},
Year = {1997},
Eprint = {arXiv:dg-ga/9708003},
Howpublished = {Math. Intell. 22 (2000) 54-61},
}

@article{dg-ga/9411010,
Author = {F. Burstall and U. Hertrich-Jeromin and F. Pedit and U. Pinkall},
Title = {Curved Flats and Isothermic Surfaces},
Year = {1994},
Eprint = {arXiv:dg-ga/9411010},
Howpublished = {Math. Z. 255 1997 199-209},
}

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

@online{2402.11779,
Author = {W. K. Schief and U. Hertrich-Jeromin and B. G. Konopelchenko},
Title = {Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation},
Year = {2024},
Eprint = {2402.11779},
Eprinttype = {arXiv},
}

@online{2206.13401,
Author = {Andreas Fuchs and Udo Hertrich-Jeromin and Mason Pember},
Title = {Symmetry breaking in geometry},
Year = {2022},
Eprint = {2206.13401},
Eprinttype = {arXiv},
}

@article{2106.01168,
Author = {Juliette Dubois and Udo Hertrich-Jeromin and Gudrun Szewieczek},
Title = {Notes on flat fronts in hyperbolic space},
Year = {2021},
Eprint = {2106.01168},
Eprinttype = {arXiv},
Doi = {10.1007/s00022-022-00628-4},
}

@article{2104.13441,
Author = {Udo Hertrich-Jeromin and Gudrun Szewieczek},
Title = {Discrete cyclic systems and circle congruences},
Year = {2021},
Eprint = {2104.13441},
Eprinttype = {arXiv},
Doi = {10.1007/s10231-022-01219-5},
}

@online{1701.02134,
Author = {Shoichi Fujimori and Udo Hertrich-Jeromin and Masatoshi Kokubu and Masaaki Umehara and Kotaro Yamada},
Title = {Quadrics and Scherk towers},
Year = {2017},
Eprint = {1701.02134},
Eprinttype = {arXiv},
}

@online{1602.06682,
Author = {U. Hertrich-Jeromin and A. Honda},
Title = {Minimal Darboux transformations},
Year = {2016},
Eprint = {1602.06682},
Eprinttype = {arXiv},
}

@online{1507.03394,
Author = {U. Hertrich-Jeromin and K. Mundilova and E. -H. Tjaden},
Title = {Channel linear Weingarten surfaces},
Year = {2015},
Eprint = {1507.03394},
Eprinttype = {arXiv},
}

@online{math/9802126,
Author = {Alexander I. Bobenko and Udo J. Hertrich-Jeromin},
Title = {Orthogonal nets and Clifford algebras},
Year = {1998},
Eprint = {math/9802126},
Eprinttype = {arXiv},
}

@online{dg-ga/9704003,
Author = {U. Hertrich-Jeromin and E. -H. Tjaden and M. T. Zuercher},
Title = {On Guichard's nets and Cyclic systems},
Year = {1997},
Eprint = {dg-ga/9704003},
Eprinttype = {arXiv},
}

@online{dg-ga/9611009,
Author = {Udo Hertrich-Jeromin and Tim Hoffmann and Ulrich Pinkall},
Title = {A discrete version of the Darboux transform for isothermic surfaces},
Year = {1996},
Eprint = {dg-ga/9611009},
Eprinttype = {arXiv},
}

Published:

These BibLaTeX records are based on arXiv information only. You may prefer getting the more detailed records provided by MathSciNet instead.

@article{2401.10618,
Author = {F. E. Burstall and E. Carberry and U. Hertrich-Jeromin and F. Pedit},
Title = {Isothermic surfaces and conservation laws},
Year = {2024},
Eprint = {2401.10618},
Eprinttype = {arXiv},
Howpublished = {2023 MATRIX Annals, 2025, 135-158},
Doi = {10.1007/978-3-031-76738-8_9},
}

@article{2105.00702,
Author = {Udo Hertrich-Jeromin and Mason Pember and Denis Polly},
Title = {Channel linear Weingarten surfaces in space forms},
Year = {2021},
Eprint = {2105.00702},
Eprinttype = {arXiv},
Howpublished = {Beitr Algebra Geom 64/4, 969--1009 (2023)},
Doi = {10.1007/s13366-022-00664-w},
}

@article{2008.01447,
Author = {F. E. Burstall and J. Cho and U. Hertrich-Jeromin and M. Pember and W. Rossman},
Title = {Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets},
Year = {2020},
Eprint = {2008.01447},
Eprinttype = {arXiv},
Howpublished = {Proc. London Math. Soc. 126 (2023) 790-836},
Doi = {10.1112/plms.12499},
}

@article{1809.01750,
Author = {Udo Hertrich-Jeromin and Wayne Rossman and Gudrun Szewieczek},
Title = {Discrete channel surfaces},
Year = {2018},
Eprint = {1809.01750},
Eprinttype = {arXiv},
Howpublished = {Mathematische Zeitschrift, 1-21, 2019},
Doi = {10.1007/s00209-019-02389-4},
}

@article{1711.04605,
Author = {F. Burstall and U. Hertrich-Jeromin and M. Lara Miro},
Title = {Ribaucour coordinates},
Year = {2017},
Eprint = {1711.04605},
Eprinttype = {arXiv},
Howpublished = {Beitraege Alg. u. Geom. 60 (2019) 39-55},
Doi = {10.1007/s13366-018-0391-9},
}

@article{1707.01713,
Author = {Francis E. Burstall and Udo Hertrich-Jeromin and Mason Pember and Wayne Rossman},
Title = {Polynomial Conserved Quantities of Lie Applicable Surfaces},
Year = {2017},
Eprint = {1707.01713},
Eprinttype = {arXiv},
Howpublished = {manuscripta math. 158 (2019) 505-546},
Doi = {10.1007/s00229-018-1033-0},
}

@article{1602.08180,
Author = {Francis E. Burstall and Udo Hertrich-Jeromin and Yoshihiko Suyama},
Title = {Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics},
Year = {2016},
Eprint = {1602.08180},
Eprinttype = {arXiv},
Howpublished = {Journal of the Mathematical Society of Japan. 70, 2, (2018) 617-649},
Doi = {10.2969/jmsj/07027420},
}

@article{1506.04730,
Author = {F. Burstall and U. Hertrich-Jeromin and C. Mueller and W. Rossman},
Title = {Semi-discrete isothermic surfaces},
Year = {2015},
Eprint = {1506.04730},
Eprinttype = {arXiv},
Howpublished = {Geom. Dedicata 183 (2016) 43-58},
Doi = {10.1007/s10711-016-0143-7},
}

@article{1409.2001,
Author = {A. Bobenko and U. Hertrich-Jeromin and I. Lukyanenko},
Title = {Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality},
Year = {2014},
Eprint = {1409.2001},
Eprinttype = {arXiv},
Howpublished = {Discrete and Computational Geometry (2014) 52, 612-629},
Doi = {10.1007/s00454-014-9622-5},
}

@article{1406.1293,
Author = {F. Burstall and U. Hertrich-Jeromin and W. Rossman},
Title = {Discrete linear Weingarten surfaces},
Year = {2014},
Eprint = {1406.1293},
Eprinttype = {arXiv},
Howpublished = {Nagoya Math. J. 231, (2018) 55-88},
Doi = {10.1017/nmj.2017.11},
}

@article{1005.4099,
Author = {Francis E. Burstall and Udo Hertrich-Jeromin and Wayne Rossman},
Title = {Lie geometry of flat fronts in hyperbolic space},
Year = {2010},
Eprint = {1005.4099},
Eprinttype = {arXiv},
Howpublished = {Comptes Rendus, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 661-664},
}

@article{0804.2707,
Author = {F Burstall and U Hertrich-Jeromin and W Rossman and S Santos},
Title = {Discrete surfaces of constant mean curvature},
Year = {2008},
Eprint = {0804.2707},
Eprinttype = {arXiv},
Howpublished = {RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179},
}

@article{math/0407244,
Author = {F. E. Burstall and U. Hertrich-Jeromin},
Title = {The Ribaucour transformation in Lie sphere geometry},
Year = {2004},
Eprint = {math/0407244},
Eprinttype = {arXiv},
Howpublished = {Differential Geom. Appl. 24 (2006) 503-520},
Doi = {10.1016/j.difgeo.2006.04.007},
}

@article{math/0103162,
Author = {F. E. Burstall and U. Hertrich-Jeromin},
Title = {Harmonic maps in unfashionable geometries},
Year = {2001},
Eprint = {math/0103162},
Eprinttype = {arXiv},
Howpublished = {manuscripta math. 108 (2002) 171-189},
Doi = {10.1007/s002290200269},
}

@article{math/9908161,
Author = {Udo Hertrich-Jeromin},
Title = {Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space},
Year = {1999},
Eprint = {math/9908161},
Eprinttype = {arXiv},
Howpublished = {manuscripta math. 102, 465-486 (2000)},
}

@article{math/9905112,
Author = {U. Hertrich-Jeromin and I. McIntosh and P. Norman and F. Pedit},
Title = {Periodic discrete conformal maps},
Year = {1999},
Eprint = {math/9905112},
Eprinttype = {arXiv},
Howpublished = {J. reine angew. Math 534 (2001), 129-153},
}

@article{math/9810157,
Author = {Udo Hertrich-Jeromin and Emilio Musso and Lorenzo Nicolodi},
Title = {Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space},
Year = {1998},
Eprint = {math/9810157},
Eprinttype = {arXiv},
Howpublished = {Ann. Global Anal. Appl. 19, 185-205 (2001)},
}

@article{dg-ga/9709019,
Author = {Udo Hertrich-Jeromin},
Title = {Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus},
Year = {1997},
Eprint = {dg-ga/9709019},
Eprinttype = {arXiv},
Howpublished = {Doc. Math. J. DMV 2, 335-350 (1997)},
}

@article{dg-ga/9708003,
Author = {Udo Hertrich-Jeromin},
Title = {The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature},
Year = {1997},
Eprint = {dg-ga/9708003},
Eprinttype = {arXiv},
Howpublished = {Math. Intell. 22 (2000) 54-61},
}

@article{dg-ga/9411010,
Author = {F. Burstall and U. Hertrich-Jeromin and F. Pedit and U. Pinkall},
Title = {Curved Flats and Isothermic Surfaces},
Year = {1994},
Eprint = {dg-ga/9411010},
Eprinttype = {arXiv},
Howpublished = {Math. Z. 255 1997 199-209},
}

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

Simple-minded \bibitems:

\begin{thebibliography}

\bibitem{2402.11779}
W. K. Schief, U. Hertrich-Jeromin and B. G. Konopelchenko.
\newblock Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation, 2024;
\newblock arXiv:2402.11779.

\bibitem{2206.13401}
Andreas Fuchs, Udo Hertrich-Jeromin and Mason Pember.
\newblock Symmetry breaking in geometry, 2022;
\newblock arXiv:2206.13401.

\bibitem{2106.01168}
Juliette Dubois, Udo Hertrich-Jeromin and Gudrun Szewieczek.
\newblock Notes on flat fronts in hyperbolic space, 2021;
\newblock arXiv:2106.01168.
\newblock DOI: 10.1007/s00022-022-00628-4.

\bibitem{2104.13441}
Udo Hertrich-Jeromin and Gudrun Szewieczek.
\newblock Discrete cyclic systems and circle congruences, 2021;
\newblock arXiv:2104.13441.
\newblock DOI: 10.1007/s10231-022-01219-5.

\bibitem{1701.02134}
Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada.
\newblock Quadrics and Scherk towers, 2017;
\newblock arXiv:1701.02134.

\bibitem{1602.06682}
U. Hertrich-Jeromin and A. Honda.
\newblock Minimal Darboux transformations, 2016;
\newblock arXiv:1602.06682.

\bibitem{1507.03394}
U. Hertrich-Jeromin, K. Mundilova and E. -H. Tjaden.
\newblock Channel linear Weingarten surfaces, 2015;
\newblock arXiv:1507.03394.

\bibitem{math/9802126}
Alexander I. Bobenko and Udo J. Hertrich-Jeromin.
\newblock Orthogonal nets and Clifford algebras, 1998;
\newblock arXiv:math/9802126.

\bibitem{dg-ga/9704003}
U. Hertrich-Jeromin, E. -H. Tjaden and M. T. Zuercher.
\newblock On Guichard's nets and Cyclic systems, 1997;
\newblock arXiv:dg-ga/9704003.

\bibitem{dg-ga/9611009}
Udo Hertrich-Jeromin, Tim Hoffmann and Ulrich Pinkall.
\newblock A discrete version of the Darboux transform for isothermic surfaces, 1996;
\newblock arXiv:dg-ga/9611009.

\end{thebibliography}

Published:

Simple-minded \bibitems:

\begin{thebibliography}

\bibitem{2401.10618}
F. E. Burstall, E. Carberry, U. Hertrich-Jeromin and F. Pedit.
\newblock Isothermic surfaces and conservation laws, 2024,
\newblock 2023 MATRIX Annals, 2025, 135-158;
\newblock arXiv:2401.10618.
\newblock DOI: 10.1007/978-3-031-76738-8_9.

\bibitem{2105.00702}
Udo Hertrich-Jeromin, Mason Pember and Denis Polly.
\newblock Channel linear Weingarten surfaces in space forms, 2021,
\newblock Beitr Algebra Geom 64/4, 969--1009 (2023);
\newblock arXiv:2105.00702.
\newblock DOI: 10.1007/s13366-022-00664-w.

\bibitem{2008.01447}
F. E. Burstall, J. Cho, U. Hertrich-Jeromin, M. Pember and W. Rossman.
\newblock Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets, 2020,
\newblock Proc. London Math. Soc. 126 (2023) 790-836;
\newblock arXiv:2008.01447.
\newblock DOI: 10.1112/plms.12499.

\bibitem{1809.01750}
Udo Hertrich-Jeromin, Wayne Rossman and Gudrun Szewieczek.
\newblock Discrete channel surfaces, 2018,
\newblock Mathematische Zeitschrift, 1-21, 2019;
\newblock arXiv:1809.01750.
\newblock DOI: 10.1007/s00209-019-02389-4.

\bibitem{1711.04605}
F. Burstall, U. Hertrich-Jeromin and M. Lara Miro.
\newblock Ribaucour coordinates, 2017,
\newblock Beitraege Alg. u. Geom. 60 (2019) 39-55;
\newblock arXiv:1711.04605.
\newblock DOI: 10.1007/s13366-018-0391-9.

\bibitem{1707.01713}
Francis E. Burstall, Udo Hertrich-Jeromin, Mason Pember and Wayne Rossman.
\newblock Polynomial Conserved Quantities of Lie Applicable Surfaces, 2017,
\newblock manuscripta math. 158 (2019) 505-546;
\newblock arXiv:1707.01713.
\newblock DOI: 10.1007/s00229-018-1033-0.

\bibitem{1602.08180}
Francis E. Burstall, Udo Hertrich-Jeromin and Yoshihiko Suyama.
\newblock Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics, 2016,
\newblock Journal of the Mathematical Society of Japan. 70, 2, (2018) 617-649;
\newblock arXiv:1602.08180.
\newblock DOI: 10.2969/jmsj/07027420.

\bibitem{1506.04730}
F. Burstall, U. Hertrich-Jeromin, C. Mueller and W. Rossman.
\newblock Semi-discrete isothermic surfaces, 2015,
\newblock Geom. Dedicata 183 (2016) 43-58;
\newblock arXiv:1506.04730.
\newblock DOI: 10.1007/s10711-016-0143-7.

\bibitem{1409.2001}
A. Bobenko, U. Hertrich-Jeromin and I. Lukyanenko.
\newblock Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality, 2014,
\newblock Discrete and Computational Geometry (2014) 52, 612-629;
\newblock arXiv:1409.2001.
\newblock DOI: 10.1007/s00454-014-9622-5.

\bibitem{1406.1293}
F. Burstall, U. Hertrich-Jeromin and W. Rossman.
\newblock Discrete linear Weingarten surfaces, 2014,
\newblock Nagoya Math. J. 231, (2018) 55-88;
\newblock arXiv:1406.1293.
\newblock DOI: 10.1017/nmj.2017.11.

\bibitem{1005.4099}
Francis E. Burstall, Udo Hertrich-Jeromin and Wayne Rossman.
\newblock Lie geometry of flat fronts in hyperbolic space, 2010,
\newblock Comptes Rendus, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 661-664;
\newblock arXiv:1005.4099.

\bibitem{0804.2707}
F Burstall, U Hertrich-Jeromin, W Rossman and S Santos.
\newblock Discrete surfaces of constant mean curvature, 2008,
\newblock RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179;
\newblock arXiv:0804.2707.

\bibitem{math/0407244}
F. E. Burstall and U. Hertrich-Jeromin.
\newblock The Ribaucour transformation in Lie sphere geometry, 2004,
\newblock Differential Geom. Appl. 24 (2006) 503-520;
\newblock arXiv:math/0407244.
\newblock DOI: 10.1016/j.difgeo.2006.04.007.

\bibitem{math/0103162}
F. E. Burstall and U. Hertrich-Jeromin.
\newblock Harmonic maps in unfashionable geometries, 2001,
\newblock manuscripta math. 108 (2002) 171-189;
\newblock arXiv:math/0103162.
\newblock DOI: 10.1007/s002290200269.

\bibitem{math/9908161}
Udo Hertrich-Jeromin.
\newblock Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space, 1999,
\newblock manuscripta math. 102, 465-486 (2000);
\newblock arXiv:math/9908161.

\bibitem{math/9905112}
U. Hertrich-Jeromin, I. McIntosh, P. Norman and F. Pedit.
\newblock Periodic discrete conformal maps, 1999,
\newblock J. reine angew. Math 534 (2001), 129-153;
\newblock arXiv:math/9905112.

\bibitem{math/9810157}
Udo Hertrich-Jeromin, Emilio Musso and Lorenzo Nicolodi.
\newblock Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space, 1998,
\newblock Ann. Global Anal. Appl. 19, 185-205 (2001);
\newblock arXiv:math/9810157.

\bibitem{dg-ga/9709019}
Udo Hertrich-Jeromin.
\newblock Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus, 1997,
\newblock Doc. Math. J. DMV 2, 335-350 (1997);
\newblock arXiv:dg-ga/9709019.

\bibitem{dg-ga/9708003}
Udo Hertrich-Jeromin.
\newblock The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature, 1997,
\newblock Math. Intell. 22 (2000) 54-61;
\newblock arXiv:dg-ga/9708003.

\bibitem{dg-ga/9411010}
F. Burstall, U. Hertrich-Jeromin, F. Pedit and U. Pinkall.
\newblock Curved Flats and Isothermic Surfaces, 1994,
\newblock Math. Z. 255 1997 199-209;
\newblock arXiv:dg-ga/9411010.

\end{thebibliography}

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

<ul>
<li>
W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko: “Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation”, 2024; <a href='http://arxiv.org/abs/2402.11779'>arXiv:2402.11779</a>.
</li><li>
Andreas Fuchs, Udo Hertrich-Jeromin, Mason Pember: “Symmetry breaking in geometry”, 2022; <a href='http://arxiv.org/abs/2206.13401'>arXiv:2206.13401</a>.
</li><li>
Juliette Dubois, Udo Hertrich-Jeromin, Gudrun Szewieczek: “Notes on flat fronts in hyperbolic space”, 2021; <a href='http://arxiv.org/abs/2106.01168'>arXiv:2106.01168</a>. DOI: <a href='https://dx.doi.org/10.1007/s00022-022-00628-4'>10.1007/s00022-022-00628-4</a>.
</li><li>
Udo Hertrich-Jeromin, Gudrun Szewieczek: “Discrete cyclic systems and circle congruences”, 2021; <a href='http://arxiv.org/abs/2104.13441'>arXiv:2104.13441</a>. DOI: <a href='https://dx.doi.org/10.1007/s10231-022-01219-5'>10.1007/s10231-022-01219-5</a>.
</li><li>
Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu, Masaaki Umehara, Kotaro Yamada: “Quadrics and Scherk towers”, 2017; <a href='http://arxiv.org/abs/1701.02134'>arXiv:1701.02134</a>.
</li><li>
U. Hertrich-Jeromin, A. Honda: “Minimal Darboux transformations”, 2016; <a href='http://arxiv.org/abs/1602.06682'>arXiv:1602.06682</a>.
</li><li>
U. Hertrich-Jeromin, K. Mundilova, E. -H. Tjaden: “Channel linear Weingarten surfaces”, 2015; <a href='http://arxiv.org/abs/1507.03394'>arXiv:1507.03394</a>.
</li><li>
Alexander I. Bobenko, Udo J. Hertrich-Jeromin: “Orthogonal nets and Clifford algebras”, 1998; <a href='http://arxiv.org/abs/math/9802126'>arXiv:math/9802126</a>.
</li><li>
U. Hertrich-Jeromin, E. -H. Tjaden, M. T. Zuercher: “On Guichard's nets and Cyclic systems”, 1997; <a href='http://arxiv.org/abs/dg-ga/9704003'>arXiv:dg-ga/9704003</a>.
</li><li>
Udo Hertrich-Jeromin, Tim Hoffmann, Ulrich Pinkall: “A discrete version of the Darboux transform for isothermic surfaces”, 1996; <a href='http://arxiv.org/abs/dg-ga/9611009'>arXiv:dg-ga/9611009</a>.
</li>
</ul>

Published:

<ul>
<li>
F. E. Burstall, E. Carberry, U. Hertrich-Jeromin, F. Pedit: “Isothermic surfaces and conservation laws”, 2024, 2023 MATRIX Annals, 2025, 135-158; <a href='http://arxiv.org/abs/2401.10618'>arXiv:2401.10618</a>. DOI: <a href='https://dx.doi.org/10.1007/978-3-031-76738-8_9'>10.1007/978-3-031-76738-8_9</a>.
</li><li>
Udo Hertrich-Jeromin, Mason Pember, Denis Polly: “Channel linear Weingarten surfaces in space forms”, 2021, Beitr Algebra Geom 64/4, 969--1009 (2023); <a href='http://arxiv.org/abs/2105.00702'>arXiv:2105.00702</a>. DOI: <a href='https://dx.doi.org/10.1007/s13366-022-00664-w'>10.1007/s13366-022-00664-w</a>.
</li><li>
F. E. Burstall, J. Cho, U. Hertrich-Jeromin, M. Pember, W. Rossman: “Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets”, 2020, Proc. London Math. Soc. 126 (2023) 790-836; <a href='http://arxiv.org/abs/2008.01447'>arXiv:2008.01447</a>. DOI: <a href='https://dx.doi.org/10.1112/plms.12499'>10.1112/plms.12499</a>.
</li><li>
Udo Hertrich-Jeromin, Wayne Rossman, Gudrun Szewieczek: “Discrete channel surfaces”, 2018, Mathematische Zeitschrift, 1-21, 2019; <a href='http://arxiv.org/abs/1809.01750'>arXiv:1809.01750</a>. DOI: <a href='https://dx.doi.org/10.1007/s00209-019-02389-4'>10.1007/s00209-019-02389-4</a>.
</li><li>
F. Burstall, U. Hertrich-Jeromin, M. Lara Miro: “Ribaucour coordinates”, 2017, Beitraege Alg. u. Geom. 60 (2019) 39-55; <a href='http://arxiv.org/abs/1711.04605'>arXiv:1711.04605</a>. DOI: <a href='https://dx.doi.org/10.1007/s13366-018-0391-9'>10.1007/s13366-018-0391-9</a>.
</li><li>
Francis E. Burstall, Udo Hertrich-Jeromin, Mason Pember, Wayne Rossman: “Polynomial Conserved Quantities of Lie Applicable Surfaces”, 2017, manuscripta math. 158 (2019) 505-546; <a href='http://arxiv.org/abs/1707.01713'>arXiv:1707.01713</a>. DOI: <a href='https://dx.doi.org/10.1007/s00229-018-1033-0'>10.1007/s00229-018-1033-0</a>.
</li><li>
Francis E. Burstall, Udo Hertrich-Jeromin, Yoshihiko Suyama: “Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics”, 2016, Journal of the Mathematical Society of Japan. 70, 2, (2018) 617-649; <a href='http://arxiv.org/abs/1602.08180'>arXiv:1602.08180</a>. DOI: <a href='https://dx.doi.org/10.2969/jmsj/07027420'>10.2969/jmsj/07027420</a>.
</li><li>
F. Burstall, U. Hertrich-Jeromin, C. Mueller, W. Rossman: “Semi-discrete isothermic surfaces”, 2015, Geom. Dedicata 183 (2016) 43-58; <a href='http://arxiv.org/abs/1506.04730'>arXiv:1506.04730</a>. DOI: <a href='https://dx.doi.org/10.1007/s10711-016-0143-7'>10.1007/s10711-016-0143-7</a>.
</li><li>
A. Bobenko, U. Hertrich-Jeromin, I. Lukyanenko: “Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality”, 2014, Discrete and Computational Geometry (2014) 52, 612-629; <a href='http://arxiv.org/abs/1409.2001'>arXiv:1409.2001</a>. DOI: <a href='https://dx.doi.org/10.1007/s00454-014-9622-5'>10.1007/s00454-014-9622-5</a>.
</li><li>
F. Burstall, U. Hertrich-Jeromin, W. Rossman: “Discrete linear Weingarten surfaces”, 2014, Nagoya Math. J. 231, (2018) 55-88; <a href='http://arxiv.org/abs/1406.1293'>arXiv:1406.1293</a>. DOI: <a href='https://dx.doi.org/10.1017/nmj.2017.11'>10.1017/nmj.2017.11</a>.
</li><li>
Francis E. Burstall, Udo Hertrich-Jeromin, Wayne Rossman: “Lie geometry of flat fronts in hyperbolic space”, 2010, Comptes Rendus, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 661-664; <a href='http://arxiv.org/abs/1005.4099'>arXiv:1005.4099</a>.
</li><li>
F Burstall, U Hertrich-Jeromin, W Rossman, S Santos: “Discrete surfaces of constant mean curvature”, 2008, RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179; <a href='http://arxiv.org/abs/0804.2707'>arXiv:0804.2707</a>.
</li><li>
F. E. Burstall, U. Hertrich-Jeromin: “The Ribaucour transformation in Lie sphere geometry”, 2004, Differential Geom. Appl. 24 (2006) 503-520; <a href='http://arxiv.org/abs/math/0407244'>arXiv:math/0407244</a>. DOI: <a href='https://dx.doi.org/10.1016/j.difgeo.2006.04.007'>10.1016/j.difgeo.2006.04.007</a>.
</li><li>
F. E. Burstall, U. Hertrich-Jeromin: “Harmonic maps in unfashionable geometries”, 2001, manuscripta math. 108 (2002) 171-189; <a href='http://arxiv.org/abs/math/0103162'>arXiv:math/0103162</a>. DOI: <a href='https://dx.doi.org/10.1007/s002290200269'>10.1007/s002290200269</a>.
</li><li>
Udo Hertrich-Jeromin: “Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space”, 1999, manuscripta math. 102, 465-486 (2000); <a href='http://arxiv.org/abs/math/9908161'>arXiv:math/9908161</a>.
</li><li>
U. Hertrich-Jeromin, I. McIntosh, P. Norman, F. Pedit: “Periodic discrete conformal maps”, 1999, J. reine angew. Math 534 (2001), 129-153; <a href='http://arxiv.org/abs/math/9905112'>arXiv:math/9905112</a>.
</li><li>
Udo Hertrich-Jeromin, Emilio Musso, Lorenzo Nicolodi: “Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space”, 1998, Ann. Global Anal. Appl. 19, 185-205 (2001); <a href='http://arxiv.org/abs/math/9810157'>arXiv:math/9810157</a>.
</li><li>
Udo Hertrich-Jeromin: “Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus”, 1997, Doc. Math. J. DMV 2, 335-350 (1997); <a href='http://arxiv.org/abs/dg-ga/9709019'>arXiv:dg-ga/9709019</a>.
</li><li>
Udo Hertrich-Jeromin: “The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature”, 1997, Math. Intell. 22 (2000) 54-61; <a href='http://arxiv.org/abs/dg-ga/9708003'>arXiv:dg-ga/9708003</a>.
</li><li>
F. Burstall, U. Hertrich-Jeromin, F. Pedit, U. Pinkall: “Curved Flats and Isothermic Surfaces”, 1994, Math. Z. 255 1997 199-209; <a href='http://arxiv.org/abs/dg-ga/9411010'>arXiv:dg-ga/9411010</a>.
</li>
</ul>

Preprints:

Please add the journal reference and DOI for your papers as soon as they are published.

Preview:

W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko: “Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation”, 2024; arXiv:2402.11779.
Andreas Fuchs, Udo Hertrich-Jeromin, Mason Pember: “Symmetry breaking in geometry”, 2022; arXiv:2206.13401.
Juliette Dubois, Udo Hertrich-Jeromin, Gudrun Szewieczek: “Notes on flat fronts in hyperbolic space”, 2021; arXiv:2106.01168. DOI: 10.1007/s00022-022-00628-4.
Udo Hertrich-Jeromin, Gudrun Szewieczek: “Discrete cyclic systems and circle congruences”, 2021; arXiv:2104.13441. DOI: 10.1007/s10231-022-01219-5.
Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu, Masaaki Umehara, Kotaro Yamada: “Quadrics and Scherk towers”, 2017; arXiv:1701.02134.
U. Hertrich-Jeromin, A. Honda: “Minimal Darboux transformations”, 2016; arXiv:1602.06682.
U. Hertrich-Jeromin, K. Mundilova, E. -H. Tjaden: “Channel linear Weingarten surfaces”, 2015; arXiv:1507.03394.
Alexander I. Bobenko, Udo J. Hertrich-Jeromin: “Orthogonal nets and Clifford algebras”, 1998; arXiv:math/9802126.
U. Hertrich-Jeromin, E. -H. Tjaden, M. T. Zuercher: “On Guichard's nets and Cyclic systems”, 1997; arXiv:dg-ga/9704003.
Udo Hertrich-Jeromin, Tim Hoffmann, Ulrich Pinkall: “A discrete version of the Darboux transform for isothermic surfaces”, 1996; arXiv:dg-ga/9611009.

For copy and pasting to a Wiki:

* W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko: “Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation”, 2024; [http://arxiv.org/abs/2402.11779 arXiv:2402.11779].

* Andreas Fuchs, Udo Hertrich-Jeromin, Mason Pember: “Symmetry breaking in geometry”, 2022; [http://arxiv.org/abs/2206.13401 arXiv:2206.13401].

* Juliette Dubois, Udo Hertrich-Jeromin, Gudrun Szewieczek: “Notes on flat fronts in hyperbolic space”, 2021; [http://arxiv.org/abs/2106.01168 arXiv:2106.01168]. DOI: [https://dx.doi.org/10.1007/s00022-022-00628-4 10.1007/s00022-022-00628-4].

* Udo Hertrich-Jeromin, Gudrun Szewieczek: “Discrete cyclic systems and circle congruences”, 2021; [http://arxiv.org/abs/2104.13441 arXiv:2104.13441]. DOI: [https://dx.doi.org/10.1007/s10231-022-01219-5 10.1007/s10231-022-01219-5].

* Shoichi Fujimori, Udo Hertrich-Jeromin, Masatoshi Kokubu, Masaaki Umehara, Kotaro Yamada: “Quadrics and Scherk towers”, 2017; [http://arxiv.org/abs/1701.02134 arXiv:1701.02134].

* U. Hertrich-Jeromin, A. Honda: “Minimal Darboux transformations”, 2016; [http://arxiv.org/abs/1602.06682 arXiv:1602.06682].

* U. Hertrich-Jeromin, K. Mundilova, E. -H. Tjaden: “Channel linear Weingarten surfaces”, 2015; [http://arxiv.org/abs/1507.03394 arXiv:1507.03394].

* Alexander I. Bobenko, Udo J. Hertrich-Jeromin: “Orthogonal nets and Clifford algebras”, 1998; [http://arxiv.org/abs/math/9802126 arXiv:math/9802126].

* U. Hertrich-Jeromin, E. -H. Tjaden, M. T. Zuercher: “On Guichard's nets and Cyclic systems”, 1997; [http://arxiv.org/abs/dg-ga/9704003 arXiv:dg-ga/9704003].

* Udo Hertrich-Jeromin, Tim Hoffmann, Ulrich Pinkall: “A discrete version of the Darboux transform for isothermic surfaces”, 1996; [http://arxiv.org/abs/dg-ga/9611009 arXiv:dg-ga/9611009].

Published:

Preview:

F. E. Burstall, E. Carberry, U. Hertrich-Jeromin, F. Pedit: “Isothermic surfaces and conservation laws”, 2024, 2023 MATRIX Annals, 2025, 135-158; arXiv:2401.10618. DOI: 10.1007/978-3-031-76738-8_9.
Udo Hertrich-Jeromin, Mason Pember, Denis Polly: “Channel linear Weingarten surfaces in space forms”, 2021, Beitr Algebra Geom 64/4, 969--1009 (2023); arXiv:2105.00702. DOI: 10.1007/s13366-022-00664-w.
F. E. Burstall, J. Cho, U. Hertrich-Jeromin, M. Pember, W. Rossman: “Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets”, 2020, Proc. London Math. Soc. 126 (2023) 790-836; arXiv:2008.01447. DOI: 10.1112/plms.12499.
Udo Hertrich-Jeromin, Wayne Rossman, Gudrun Szewieczek: “Discrete channel surfaces”, 2018, Mathematische Zeitschrift, 1-21, 2019; arXiv:1809.01750. DOI: 10.1007/s00209-019-02389-4.
F. Burstall, U. Hertrich-Jeromin, M. Lara Miro: “Ribaucour coordinates”, 2017, Beitraege Alg. u. Geom. 60 (2019) 39-55; arXiv:1711.04605. DOI: 10.1007/s13366-018-0391-9.
Francis E. Burstall, Udo Hertrich-Jeromin, Mason Pember, Wayne Rossman: “Polynomial Conserved Quantities of Lie Applicable Surfaces”, 2017, manuscripta math. 158 (2019) 505-546; arXiv:1707.01713. DOI: 10.1007/s00229-018-1033-0.
Francis E. Burstall, Udo Hertrich-Jeromin, Yoshihiko Suyama: “Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics”, 2016, Journal of the Mathematical Society of Japan. 70, 2, (2018) 617-649; arXiv:1602.08180. DOI: 10.2969/jmsj/07027420.
F. Burstall, U. Hertrich-Jeromin, C. Mueller, W. Rossman: “Semi-discrete isothermic surfaces”, 2015, Geom. Dedicata 183 (2016) 43-58; arXiv:1506.04730. DOI: 10.1007/s10711-016-0143-7.
A. Bobenko, U. Hertrich-Jeromin, I. Lukyanenko: “Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality”, 2014, Discrete and Computational Geometry (2014) 52, 612-629; arXiv:1409.2001. DOI: 10.1007/s00454-014-9622-5.
F. Burstall, U. Hertrich-Jeromin, W. Rossman: “Discrete linear Weingarten surfaces”, 2014, Nagoya Math. J. 231, (2018) 55-88; arXiv:1406.1293. DOI: 10.1017/nmj.2017.11.
Francis E. Burstall, Udo Hertrich-Jeromin, Wayne Rossman: “Lie geometry of flat fronts in hyperbolic space”, 2010, Comptes Rendus, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 661-664; arXiv:1005.4099.
F Burstall, U Hertrich-Jeromin, W Rossman, S Santos: “Discrete surfaces of constant mean curvature”, 2008, RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179; arXiv:0804.2707.
F. E. Burstall, U. Hertrich-Jeromin: “The Ribaucour transformation in Lie sphere geometry”, 2004, Differential Geom. Appl. 24 (2006) 503-520; arXiv:math/0407244. DOI: 10.1016/j.difgeo.2006.04.007.
F. E. Burstall, U. Hertrich-Jeromin: “Harmonic maps in unfashionable geometries”, 2001, manuscripta math. 108 (2002) 171-189; arXiv:math/0103162. DOI: 10.1007/s002290200269.
Udo Hertrich-Jeromin: “Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space”, 1999, manuscripta math. 102, 465-486 (2000); arXiv:math/9908161.
U. Hertrich-Jeromin, I. McIntosh, P. Norman, F. Pedit: “Periodic discrete conformal maps”, 1999, J. reine angew. Math 534 (2001), 129-153; arXiv:math/9905112.
Udo Hertrich-Jeromin, Emilio Musso, Lorenzo Nicolodi: “Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space”, 1998, Ann. Global Anal. Appl. 19, 185-205 (2001); arXiv:math/9810157.
Udo Hertrich-Jeromin: “Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus”, 1997, Doc. Math. J. DMV 2, 335-350 (1997); arXiv:dg-ga/9709019.
Udo Hertrich-Jeromin: “The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature”, 1997, Math. Intell. 22 (2000) 54-61; arXiv:dg-ga/9708003.
F. Burstall, U. Hertrich-Jeromin, F. Pedit, U. Pinkall: “Curved Flats and Isothermic Surfaces”, 1994, Math. Z. 255 1997 199-209; arXiv:dg-ga/9411010.

For copy and pasting to a Wiki:

* F. E. Burstall, E. Carberry, U. Hertrich-Jeromin, F. Pedit: “Isothermic surfaces and conservation laws”, 2024, 2023 MATRIX Annals, 2025, 135-158; [http://arxiv.org/abs/2401.10618 arXiv:2401.10618]. DOI: [https://dx.doi.org/10.1007/978-3-031-76738-8_9 10.1007/978-3-031-76738-8_9].

* Udo Hertrich-Jeromin, Mason Pember, Denis Polly: “Channel linear Weingarten surfaces in space forms”, 2021, Beitr Algebra Geom 64/4, 969--1009 (2023); [http://arxiv.org/abs/2105.00702 arXiv:2105.00702]. DOI: [https://dx.doi.org/10.1007/s13366-022-00664-w 10.1007/s13366-022-00664-w].

* F. E. Burstall, J. Cho, U. Hertrich-Jeromin, M. Pember, W. Rossman: “Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets”, 2020, Proc. London Math. Soc. 126 (2023) 790-836; [http://arxiv.org/abs/2008.01447 arXiv:2008.01447]. DOI: [https://dx.doi.org/10.1112/plms.12499 10.1112/plms.12499].

* Udo Hertrich-Jeromin, Wayne Rossman, Gudrun Szewieczek: “Discrete channel surfaces”, 2018, Mathematische Zeitschrift, 1-21, 2019; [http://arxiv.org/abs/1809.01750 arXiv:1809.01750]. DOI: [https://dx.doi.org/10.1007/s00209-019-02389-4 10.1007/s00209-019-02389-4].

* F. Burstall, U. Hertrich-Jeromin, M. Lara Miro: “Ribaucour coordinates”, 2017, Beitraege Alg. u. Geom. 60 (2019) 39-55; [http://arxiv.org/abs/1711.04605 arXiv:1711.04605]. DOI: [https://dx.doi.org/10.1007/s13366-018-0391-9 10.1007/s13366-018-0391-9].

* Francis E. Burstall, Udo Hertrich-Jeromin, Mason Pember, Wayne Rossman: “Polynomial Conserved Quantities of Lie Applicable Surfaces”, 2017, manuscripta math. 158 (2019) 505-546; [http://arxiv.org/abs/1707.01713 arXiv:1707.01713]. DOI: [https://dx.doi.org/10.1007/s00229-018-1033-0 10.1007/s00229-018-1033-0].

* Francis E. Burstall, Udo Hertrich-Jeromin, Yoshihiko Suyama: “Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics”, 2016, Journal of the Mathematical Society of Japan. 70, 2, (2018) 617-649; [http://arxiv.org/abs/1602.08180 arXiv:1602.08180]. DOI: [https://dx.doi.org/10.2969/jmsj/07027420 10.2969/jmsj/07027420].

* F. Burstall, U. Hertrich-Jeromin, C. Mueller, W. Rossman: “Semi-discrete isothermic surfaces”, 2015, Geom. Dedicata 183 (2016) 43-58; [http://arxiv.org/abs/1506.04730 arXiv:1506.04730]. DOI: [https://dx.doi.org/10.1007/s10711-016-0143-7 10.1007/s10711-016-0143-7].

* A. Bobenko, U. Hertrich-Jeromin, I. Lukyanenko: “Discrete constant mean curvature nets in space forms: Steiner's formula and Christoffel duality”, 2014, Discrete and Computational Geometry (2014) 52, 612-629; [http://arxiv.org/abs/1409.2001 arXiv:1409.2001]. DOI: [https://dx.doi.org/10.1007/s00454-014-9622-5 10.1007/s00454-014-9622-5].

* F. Burstall, U. Hertrich-Jeromin, W. Rossman: “Discrete linear Weingarten surfaces”, 2014, Nagoya Math. J. 231, (2018) 55-88; [http://arxiv.org/abs/1406.1293 arXiv:1406.1293]. DOI: [https://dx.doi.org/10.1017/nmj.2017.11 10.1017/nmj.2017.11].

* Francis E. Burstall, Udo Hertrich-Jeromin, Wayne Rossman: “Lie geometry of flat fronts in hyperbolic space”, 2010, Comptes Rendus, C. R. Acad. Sci. Paris, Ser. I 348 (2010), 661-664; [http://arxiv.org/abs/1005.4099 arXiv:1005.4099].

* F Burstall, U Hertrich-Jeromin, W Rossman, S Santos: “Discrete surfaces of constant mean curvature”, 2008, RIMS Ky\^ok\^uroku Bessatsu 1880 (2014) 133-179; [http://arxiv.org/abs/0804.2707 arXiv:0804.2707].

* F. E. Burstall, U. Hertrich-Jeromin: “The Ribaucour transformation in Lie sphere geometry”, 2004, Differential Geom. Appl. 24 (2006) 503-520; [http://arxiv.org/abs/math/0407244 arXiv:math/0407244]. DOI: [https://dx.doi.org/10.1016/j.difgeo.2006.04.007 10.1016/j.difgeo.2006.04.007].

* F. E. Burstall, U. Hertrich-Jeromin: “Harmonic maps in unfashionable geometries”, 2001, manuscripta math. 108 (2002) 171-189; [http://arxiv.org/abs/math/0103162 arXiv:math/0103162]. DOI: [https://dx.doi.org/10.1007/s002290200269 10.1007/s002290200269].

* Udo Hertrich-Jeromin: “Transformations of discrete isothermic nets and discrete cmc-1 surfaces in hyperbolic space”, 1999, manuscripta math. 102, 465-486 (2000); [http://arxiv.org/abs/math/9908161 arXiv:math/9908161].

* U. Hertrich-Jeromin, I. McIntosh, P. Norman, F. Pedit: “Periodic discrete conformal maps”, 1999, J. reine angew. Math 534 (2001), 129-153; [http://arxiv.org/abs/math/9905112 arXiv:math/9905112].

* Udo Hertrich-Jeromin, Emilio Musso, Lorenzo Nicolodi: “Moebius geometry of surfaces of constant mean curvature 1 in hyperbolic space”, 1998, Ann. Global Anal. Appl. 19, 185-205 (2001); [http://arxiv.org/abs/math/9810157 arXiv:math/9810157].

* Udo Hertrich-Jeromin: “Supplement on Curved flats in the space of point pairs and Isothermic surfaces: A Quaternionic Calculus”, 1997, Doc. Math. J. DMV 2, 335-350 (1997); [http://arxiv.org/abs/dg-ga/9709019 arXiv:dg-ga/9709019].

* Udo Hertrich-Jeromin: “The surfaces capable of division into Infinitesimal Squares by their Curves of Curvature”, 1997, Math. Intell. 22 (2000) 54-61; [http://arxiv.org/abs/dg-ga/9708003 arXiv:dg-ga/9708003].

* F. Burstall, U. Hertrich-Jeromin, F. Pedit, U. Pinkall: “Curved Flats and Isothermic Surfaces”, 1994, Math. Z. 255 1997 199-209; [http://arxiv.org/abs/dg-ga/9411010 arXiv:dg-ga/9411010].

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