Weighted Hsiung-Minkowski formulas and rigidity of umbilical hypersurfaces

DOI10.4310/MRL.2018.V25.N2.A13zbMath1400.53048arXiv1608.08955OpenAlexW2963335050WikidataQ129581641 ScholiaQ129581641MaRDI QIDQ1990271

Kwok-Kun Kwong, Juncheol Pyo, Ho-Joo Lee

Publication date: 25 October 2018

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08955

zbMATH Keywords

embedded hypersurfacesintegral formulashigher-order mean curvatures

Mathematics Subject Classification ID

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

Related Items (6)

On compact embedded Weingarten hypersurfaces in warped products ⋮ Closed self-similar solutions to flows by negative powers of curvature ⋮ Weighted isoperimetric inequalities in warped product manifolds ⋮ Uniqueness theorems of self-conformal solutions to inverse curvature flows ⋮ New Hsiung-Minkowski identities ⋮ Characterizations of umbilic hypersurfaces in warped product manifolds

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