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.
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@article{CRMATH_2012__350_7-8_413_0, author = {Burstall, Francis E. and Hertrich-Jeromin, Udo and Rossman, Wayne}, title = {Lie geometry of linear {Weingarten} surfaces}, journal = {Comptes Rendus. Math\'ematique}, pages = {413--416}, publisher = {Elsevier}, volume = {350}, number = {7-8}, year = {2012}, doi = {10.1016/j.crma.2012.03.018}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.03.018/} }
TY - JOUR AU - Burstall, Francis E. AU - Hertrich-Jeromin, Udo AU - Rossman, Wayne TI - Lie geometry of linear Weingarten surfaces JO - Comptes Rendus. Mathématique PY - 2012 SP - 413 EP - 416 VL - 350 IS - 7-8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.03.018/ DO - 10.1016/j.crma.2012.03.018 LA - en ID - CRMATH_2012__350_7-8_413_0 ER -
%0 Journal Article %A Burstall, Francis E. %A Hertrich-Jeromin, Udo %A Rossman, Wayne %T Lie geometry of linear Weingarten surfaces %J Comptes Rendus. Mathématique %D 2012 %P 413-416 %V 350 %N 7-8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.03.018/ %R 10.1016/j.crma.2012.03.018 %G en %F CRMATH_2012__350_7-8_413_0
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://archive.numdam.org/articles/10.1016/j.crma.2012.03.018/
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