A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces
Differential Geometry
2013-07-08 v2
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.
Keywords
Cite
@article{arxiv.1205.5628,
title = {A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces},
author = {Sandra C. García-Martínez and Debora Impera and Marco Rigoli},
journal= {arXiv preprint arXiv:1205.5628},
year = {2013}
}
Comments
19 pages. To appear on Proceedings of the Edinburgh Mathematical Society