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 in a slice. We apply these results to draw topological conclusions at the end of the paper.
Garcia Martinez, S., Impera, D., Rigoli, M. (2014). A sharp height estimate for compact hypersurfaces with constant k-mean curvature in warped product spaces. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 58(2), 403-419 [10.1017/S0013091514000157].
A sharp height estimate for compact hypersurfaces with constant k-mean curvature in warped product spaces
IMPERA, DEBORA;
2014
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 in a slice. We apply these results to draw topological conclusions at the end of the paper.
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