Symmetry of hypersurfaces and the Hopf Lemma
A classical theorem of A. D. Alexandrov says that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere. We give exposition to some results on symmetry properties of hypersurfaces with ordered mean curvature and associated variations of the Hopf Lem...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | Mathematics in Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2023084?viewType=HTML |