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- Title
Uniqueness of complete spacelike hypersurfaces in generalized Robertson-Walker spacetimes.
- Authors
Junhong Dong; Ximin Liu
- 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.
- Subjects
UNIQUENESS (Mathematics); COMPLETENESS theorem; HYPERSURFACES; GENERALIZED spaces; SPACETIME; GRAPH theory
- Publication
Balkan Journal of Geometry & Its Applications, 2015, Vol 20, Issue 1, p38
- ISSN
1224-2780
- Publication type
Article