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
Alias, L., Impera, D., Rigoli, M. (2013). Hypersurfaces of constant higher order mean curvature in warped products. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 365(2), 591-621 [10.1090/S0002-9947-2012-05774-6].
Hypersurfaces of constant higher order mean curvature in warped products
Impera, D;
2013
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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