Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes

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dc.creatorAlias, Luis J.
dc.creatorColares, A. Gervasio
dc.date2007-09-27
dc.date2007-10-08
dc.date.accessioned2026-07-07T09:23:58Z
dc.date.available2026-07-07T09:23:58Z
dc.descriptionIn this paper we study the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker (GRW) spacetimes. In particular, we consider the following question: Under what conditions must a compact spacelike hypersurface with constant higher order mean curvature in a spatially closed GRW spacetime be a spacelike slice? We prove that this happens, esentially, under the so called convergence condition. Our approach is based on the use of the Newton transformations (and their associated differential operators) and the Minkowski formulae for spacelike hypersurfaces.
dc.descriptionTo appear in the Mathematical Proceedings of the Cambridge Philosophical Society (accepted November 2006)
dc.identifierhttps://arxiv.org/abs/0709.4352
dc.identifierhttp://arxiv.org/abs/0709.4352
dc.identifierMathematical Proceedings of the Cambridge Philosophical Society 143 (2007), 703--729
dc.identifierdoi:10.1017/S0305004107000576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155930
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject53C42, 53B30, 53C50
dc.titleUniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes
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