Hypersurfaces of constant higher order mean curvature in warped products

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.

arXiv commentTo appear in the Transactions of the American Mathematical Society. See http://www.ams.org/cgi-bin/mstrack/accepted_papers?jrnl=tran

References in corpus (1)

• Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes

Cited by in corpus (2)

• Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes
• Comparison Theorems in Lorentzian Geometry and applications to spacelike hypersurfaces