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arXiv · 1109.6477

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

Luis J. Alias·Debora Impera·Marco Rigoli
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Abstract

In this paper we analyze the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. We consider first the case of compact spacelike hypersurfaces, completing some previous results given in [2]. We next extend these results to the complete noncompact case. In that case, our approach is based on the use of a generalized version of the Omori-Yau maximum principle for trace type differential operators, recently given in [3].

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Luis J. Alias, Debora Impera, Marco Rigoli. 2011-09-29. Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes. https://doi.org/10.1017/s0305004111000697

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