Hypersurfaces of constant higher order mean curvature in warped products

Alías, Luis; Impera, Debora; Rigoli, Marco

doi:10.1090/S0002-9947-2012-05774-6

Hypersurfaces of constant higher order mean curvature in warped products
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by Luis J. Alías, Debora Impera and Marco Rigoli PDF

Trans. Amer. Math. Soc. 365 (2013), 591-621 Request permission

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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