A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces

Sandra C. García-Martínez; Debora Impera; Marco Rigoli

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arXiv · 1205.5628

A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces

Sandra C. García-Martínez·Debora Impera·Marco Rigoli

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Abstract

In this paper we obtain a sharp height estimate concerning compact hypersurfaces immersed into warped product spaces with some constant higher order mean curvature, and whose boundary is contained into a slice. We apply these results to draw topological conclusions at the end of the paper.

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Sandra C. García-Martínez, Debora Impera, Marco Rigoli. 2013-07-05. A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces. https://arxiv.org/abs/1205.5628

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