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Indexed by:期刊论文

Date of Publication:2013-01-01

Journal:JOURNAL OF APPLIED MATHEMATICS

Included Journals:SCIE、Scopus

Volume:2013

ISSN No.:1110-757X

Abstract:By applying Omori-Yau maximal principal theory and supposing an appropriate restriction on the norm of gradient of height function, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces with nonpositive constant mean curvature immersed in a semi-Riemannian warped product. Furthermore, some applications of our main theorems for entire vertical graphs in Robertson-Walker spacetime and for hypersurfaces in hyperbolic space are given.