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Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times

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  • Ximin Liu
  • Ning Zhang

Abstract

Applying generalized maximum principle and weak maximum principle, we obtain several uniqueness results for spacelike hypersurfaces immersed in a weighted generalized Robertson-Walker (GRW) space-time under suitable geometric assumptions. Furthermore, we also study the special case when the ambient space is static and provide some results by using Bochner’s formula.

Suggested Citation

  • Ximin Liu & Ning Zhang, 2018. "Spacelike Hypersurfaces in Weighted Generalized Robertson-Walker Space-Times," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-6, March.
    • Handle: RePEc:hin:jnlamp:4523512
    DOI: 10.1155/2018/4523512
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    Cited by:

    1. Ning Zhang & Zhangsheng Zhu, 2023. "On Calabi–Bernstein’s Problem for Uniqueness of Complete Spacelike Hypersurfaces in Weighted Generalized Robertson–Walker Spacetimes," Mathematics, MDPI, vol. 11(13), pages 1-9, June.

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