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论文类型：期刊论文

发表时间：2016-01-01

发表刊物：TURKISH JOURNAL OF MATHEMATICS

收录刊物：SCIE

卷号：40

期号：6

页面范围：1246-1257

ISSN号：1300-0098

关键字：Warped product; monotonic function; complete spacelike hypersurface; r-th mean curvature

摘要：In this paper, by applying the generalized Omori-Yau maximum principle for complete spacelike hypersurfaces in warped product spaces, we obtain the sign relationship between the derivative of warping function and support function. Afterwards, by using this result and imposing suitable restrictions on the higher order mean curvatures, we establish uniqueness results for the entire graph in a Riemannian warped product space, which has a strictly monotone warping function. Furthermore, applications to such a space are given.