局部对称黎曼流形中的超曲面(英文)

Hypersurfaces in a locally symmetric manifold with constant mean curvature。

研究了局部对称黎曼流形中具有常平均曲率超曲面的几何性质,得到了关于其第二基本形式模长平方的拼挤定理.

In this paper,the geometry of hypersurface with constant mean curvature in a locally symmetric Rirmmian manifolds is studied,and we obtain some pinching theorems about the square of the lengh of second fundamental form S.