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Rigidity theorem for complete spacelike hypersurfaces with constant scalar curvature in Lorentz spaces

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Abstract

In this paper, a complete space-like hypersurface with constant normal scalar curvature in a locally symmetric Lorentz space is discussed. The rigidity theorem is proved by using the operator □ introduced by S. Y. Cheng and S. T. Yau, and the result is a partially affirmative answer to the question posed by Haizhong Li in 1997.

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Authors and Affiliations

  1. School of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China

    Shicheng Zhang

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  1. Shicheng Zhang
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Correspondence to Shicheng Zhang.

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Zhang, S. Rigidity theorem for complete spacelike hypersurfaces with constant scalar curvature in Lorentz spaces. Isr. J. Math. 189, 177–188 (2012). https://doi.org/10.1007/s11856-011-0155-9

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  • DOI: https://doi.org/10.1007/s11856-011-0155-9

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