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arXiv · 1109.6474

Hypersurfaces of constant higher order mean curvature in warped products

Luis J. Alias·Debora Impera·Marco Rigoli
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Abstract

In this paper we characterize compact and complete hypersurfaces with some constant higher order mean curvature into warped product spaces. Our approach is based on the use of a new trace operator version of the Omori-Yau maximum principle which seems to be interesting in its own.

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Luis J. Alias, Debora Impera, Marco Rigoli. 2012-05-14. Hypersurfaces of constant higher order mean curvature in warped products. https://arxiv.org/abs/1109.6474

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