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On complete spacelike hypersurfaces with $R = a H + b$ in locally symmetric Lorentz spaces

Yingbo Han; Shuxiang Feng; Liju Yu — 2011

Archivum Mathematicum

In this note, we investigate $n$ -dimensional spacelike hypersurfaces $M^{n}$ with $R = a H + b$ in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.

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