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Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:Balkan Journal of Geometry and its Applications

Included Journals:Scopus

Volume:20

Issue:1

Page Number:38-48

ISSN No.:12242780

Abstract:In this paper we study the uniqueness of complete noncompact spacelike hypersurfaces immersed in generalized Robertson-Walker (GRW) spacetimes. According to a suitable restriction on the higher order mean curvature and the norm of the gradient of the height function of the hypersurface, we obtain some rigidity theorems in GRW spacetimes. Besides, we establish nonparametric results on the entire vertical graph in such ambient spacetimes. ? Balkan Society of Geometers, Geometry Balkan Press 2015.