On Complete Spacelike Hypersurfaces in a Semi‐Riemannian Warped Product

Yaning Wang and Ximin Liu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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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https://doi.org/10.1155/2013/757041

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:757041

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