On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product | Zendy

Yaning Wang | Zendy; Ximin Liu | Zendy

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On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product

Author(s) -

Yaning Wang,

Ximin Liu

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/757041

Subject(s) - mathematics , mathematical analysis , spacetime , norm (philosophy) , product (mathematics) , constant (computer programming) , curvature , mean curvature , function (biology) , pure mathematics , principal curvature , geometry , physics , computer science , quantum mechanics , evolutionary biology , political science , law , biology , programming language

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

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