n this paper we analyse 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 by the authors in [3].
Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes / L.J. Alias, D. Impera, M. Rigoli. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - 152:2(2012 Mar), pp. 365-383.
Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes
M. Rigoli
2012
Abstract
n this paper we analyse 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 by the authors in [3].File | Dimensione | Formato | |
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