Lie geometry of linear Weingarten surfaces. (English. French summary) Zbl 1252.53018
Summary: We show how linear Weingarten surfaces appear as special \(\Omega \)-surfaces and give a characterization of those linear Weingarten surfaces that allow a Weierstrass type representation.
MSC:
| 53A40 | Other special differential geometries |
| 53A10 | Minimal surfaces in differential geometry, surfaces with prescribed mean curvature |
| 53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |
References:
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