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On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product

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  • Yaning Wang
  • Ximin Liu

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.

Suggested Citation

  • Yaning Wang & Ximin Liu, 2013. "On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, March.
    • Handle: RePEc:hin:jnljam:757041
    DOI: 10.1155/2013/757041
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