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

Xingxiao Li; Xiufen Chang

arxiv: 1511.02984 · v1 · pith:ZS3RQOQFnew · submitted 2015-11-10 · 🧮 math.DG

Rigidity theorems of the space-like λ-hypersurfaces in the Lorentzian space mathbb R^(n+1)₁

Xingxiao Li , Xiufen Chang This is my paper

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keywords hypersurfacesspace-likecompletelambdalorentzianmathbbrigidityspace

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

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Rigidity theorems of the space-like λ-hypersurfaces in the Lorentzian space mathbb R^(n+1)₁

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