Preprints:
Please add the journal reference and DOI for your papers as soon as they are published.
Preview:
- 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, Mason Pember, Denis Polly: “Channel linear Weingarten surfaces in space forms”, 2021; arXiv:2105.00702.
- Udo Hertrich-Jeromin, Gudrun Szewieczek: “Discrete cyclic systems and circle congruences”, 2021; arXiv:2104.13441. DOI: 10.1007/s10231-022-01219-5.
- F. E. Burstall, J. Cho, U. Hertrich-Jeromin, M. Pember, W. Rossman: “Discrete $\Omega$-nets and Guichard nets via discrete Koenigs nets”, 2020; arXiv:2008.01447.
- 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.
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Published:
Preview:
- 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.
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