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Addendum to the paper: Sphere theorem by means of the ratio of mean curvature functions

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Publication:2731120
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DOI10.1017/S0017089501020110zbMath1039.53062MaRDI QIDQ2731120

Seungwon Lee, Sung-Eun Koh

Publication date: 2001

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

geodesic hypersherethe \(k\)-th mean curvature function


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)


Related Items (7)

Rigidity theorems of hypersurfaces with free boundary in a wedge in a space form ⋮ A partially overdetermined problem in domains with partial umbilical boundary in space forms ⋮ Hypersurfaces with free boundary in a convex conical domain in a space form ⋮ A note on Weingarten hypersurfaces in the warped product manifold ⋮ Graphs with constant ratio of mean curvatures and spherical caps ⋮ Uniqueness of stable capillary hypersurfaces in a ball ⋮ An extension of Hsiung-Minkowski formulas and some applications




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