Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-01-01

Journal: JOURNAL OF APPLIED MATHEMATICS

Included Journals: Scopus、SCIE

Volume: 2013

ISSN: 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.