Symmetry of hypersurfaces and the Hopf lemma

DOI10.3934/MINE.2023084arXiv2205.04629OpenAlexW4367155043WikidataQ125026959 ScholiaQ125026959MaRDI QIDQ6195630

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Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04629

zbMATH Keywords

symmetrymean curvaturehypersurfacesHopf lemmahigher-order curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces. I
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• Symmetry of hypersurfaces with ordered mean curvature in one direction
• A geometric problem and the Hopf lemma. II
• A geometric problem and the Hopf lemma. I
• A Hopf lemma for higher order differential inequalities and its applications
• Partial results on extending the Hopf Lemma

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