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

2012/05/25 by S. Carolina García-Martínez, Sandra C. García-Martínez, Debora Impera +4
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.DG

paper · pdf · doi:10.48550/arxiv.1205.5628

19 pages. To appear on Proceedings of the Edinburgh Mathematical Society

arxiv created 2013/07/05 · arxiv updated 2013/07/08

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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