In this paper, the author investigated the compact spacelike hypersurfaces of constant mean curvature in locally symmetric conforrnally flat Lorantzian manifold, and obained some rigidity theorems.%研究了局部对称共形平坦Lorentz流形中具有常平均曲率的紧致类空超曲面,得到这类超曲面的一个刚性分类定理.
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