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Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson–Walker spacetimes.
- Source :
-
Mathematical Proceedings of the Cambridge Philosophical Society . Mar2012, Vol. 152 Issue 2, p365-383. 19p. - Publication Year :
- 2012
-
Abstract
- In 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]. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 03050041
- Volume :
- 152
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematical Proceedings of the Cambridge Philosophical Society
- Publication Type :
- Academic Journal
- Accession number :
- 71438108
- Full Text :
- https://doi.org/10.1017/S0305004111000697