no. 7-8
Differential Geometry
Lie geometry of linear Weingarten surfaces
[La géométrie de Lie des surfaces de Weingarten linéaires]

Présenté par : Jean-Pierre Demailly

Burstall, Francis E.1 ; Hertrich-Jeromin, Udo1 ; Rossman, Wayne2
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, Tome 350 (2012) no. 7-8, pp. 413-416.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.03.018
Burstall, Francis E. 1 ; Hertrich-Jeromin, Udo 1 ; Rossman, Wayne 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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Burstall, Francis E.; Hertrich-Jeromin, Udo; Rossman, Wayne. Lie geometry of linear Weingarten surfaces. Comptes Rendus. Mathématique, Tome 350 (2012) no. 7-8, pp. 413-416. doi : 10.1016/j.crma.2012.03.018. http://www.numdam.org/articles/10.1016/j.crma.2012.03.018/

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