|XXXIX Workshop on Geometric Methods in Physics||27.06-3.07.2021|
|IX School on Geometry and Physics||21-25.06.2021|
Some proprerties of generalized Weingarten hypersurfaces in Euclidean space
In this work we establish some isoperimetric results for generalized Weingarten hypersurfaces in Euclidean space. We extend the Alexandrov theorem for close (compact without boundary) hypersurfaces of constant mean curvature to the case of generalized Weingarten hypersurfaces embedded in Euclidean space.
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