An extension of Hsiung-Minkowski formulas and some applications
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Publication:254231
DOI10.1007/S12220-014-9536-8zbMATH Open1335.53071arXiv1307.3025OpenAlexW1982967103MaRDI QIDQ254231
Author name not available (Why is that?)
Publication date: 8 March 2016
Published in: (Search for Journal in Brave)
Abstract: We prove a generalization of Hsiung-Minkowski formulas for closed submanifolds in semi-Riemannian manifolds with constant curvature. As a corollary, we obtain volume and area upper bounds for k-convex hypersurfaces in terms of a weighted total k-th mean curvature of the hypersurface. We also obtain some Alexandrov-type results and eigenvalue estimates for hypersurfaces.
Full work available at URL: https://arxiv.org/abs/1307.3025
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