Lie geometry of flat fronts in hyperbolic space

Francis E. Burstall; Udo Hertrich-Jeromin; Wayne Rossman

doi:10.1016/j.crma.2010.04.018

Differential Geometry

Lie geometry of flat fronts in hyperbolic space

Presented by: Marcel Berger

Francis E. Burstall ¹; Udo Hertrich-Jeromin ¹; Wayne Rossman ²

¹ Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK
² Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan

Comptes Rendus. Mathématique, Volume 348 (2010) no. 11-12, pp. 661-664

Abstract (Original language)
Résumé

We propose a Lie geometric point of view on flat fronts in hyperbolic space as special Ω-surfaces and discuss the Lie geometric deformation of flat fronts.

Nous proposons un point de vue de Lie géometrie sur les fronts plats dans l'éspace hyperbolique comme des surfaces Ω spéciales. Nous discutons ensuite la déformation Lie géometrique des fronts plats.

Received: 2010-02-14
Accepted: 2010-03-31
Published online: 2010-05-06

DOI: 10.1016/j.crma.2010.04.018

Author's affiliations:

Francis E. Burstall ¹; Udo Hertrich-Jeromin ¹; Wayne Rossman ²

¹ Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK
² Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan

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Francis E. Burstall; Udo Hertrich-Jeromin; Wayne Rossman. Lie geometry of flat fronts in hyperbolic space. Comptes Rendus. Mathématique, Volume 348 (2010) no. 11-12, pp. 661-664. doi: 10.1016/j.crma.2010.04.018

References
Cited by

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