介绍了具有常数平均曲率的超曲面的稳定性概念。

In this paper, the notion of stability of hypersurfaces with constant mean curvature was considered.

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研究局部对称空间中具有常数量曲率的紧致超曲面，给出这类超曲面的一个拼挤定理，改进了相关作者的结论。

The paper discusses on the hypersurfaces in locally symmetric manifolds with constant scalar curvature and gets a pinching theorem which improves the known results.

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该文研究了局部对称共形平坦空间中具有常数量曲率的紧致子流形，证明了这类子流形的某些内蕴刚性定理。

In this paper, the authors discuss the submanifolds with constant scalar curvature in a locally symmetric and conformally flat space, and obtain some intrinsic rigidity theorems.

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