Lie geometry of linear Weingarten surfaces

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

doi:10.1016/j.crma.2012.03.018

Differential Geometry

Lie geometry of linear Weingarten surfaces

Presented by: Jean-Pierre Demailly

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 350 (2012) no. 7-8, pp. 413-416.

Abstract
Résumé

We show how linear Weingarten surfaces appear as special Ω-surfaces and give a characterization of those linear Weingarten surfaces that allow a Weierstrass type representation.

Nous montrons que les surfaces de Weingarten linéaires peuvent être présentées comme des surfaces Ω spéciales. Ensuite, nous discutons une caractérisation des surfaces de Weingarten linéaires de type Bryant.

Received: 2011-01-18
Accepted: 2012-03-23
Published online: 2012-03-30

DOI: 10.1016/j.crma.2012.03.018

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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     author = {Francis E. Burstall and Udo Hertrich-Jeromin and Wayne Rossman},
     title = {Lie geometry of linear {Weingarten} surfaces},
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Francis E. Burstall; Udo Hertrich-Jeromin; Wayne Rossman. Lie geometry of linear Weingarten surfaces. Comptes Rendus. Mathématique, Volume 350 (2012) no. 7-8, pp. 413-416. doi : 10.1016/j.crma.2012.03.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.03.018/

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