Uniqueness of complete spacelike hypersurfaces in generalized Robertson-Walker spacetimes
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چکیده
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. M.S.C. 2010: 53C42; 53B30, 53C50.
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تاریخ انتشار 2015