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

In this paper, we study complete space-like $λ$-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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