Hypersurfaces of constant higher order mean curvature in warped products

By L. Alías, Debora Impera, M. Rigoli. 2011

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/07ecaf51f62868faaaabf1831c4af30fee243d8f