English

Rigidity theorems of the space-like $\lambda$-hypersurfaces in the Lorentzian space $\mathbb R^{n+1}_1$

Differential Geometry 2015-11-11 v1

Abstract

In this paper, we study complete space-like λ\lambda-hypersurfaces in the Lorentzian space R1n+1\mathbb R^{n+1}_1. As the result, we prove some rigidity theorems for these hypersurfaces including the complete space-like self-shrinkers in \bbr1n+1\bbr^{n+1}_1.

Keywords

Cite

@article{arxiv.1511.02984,
  title  = {Rigidity theorems of the space-like $\lambda$-hypersurfaces in the Lorentzian space $\mathbb R^{n+1}_1$},
  author = {Xingxiao Li and Xiufen Chang},
  journal= {arXiv preprint arXiv:1511.02984},
  year   = {2015}
}

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