On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product

Yaning Wang and Ximin Liu

Journal of Applied Mathematics, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:757041

DOI: 10.1155/2013/757041

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