拟常曲率流形中具有常平均曲率的子流形

On the Submanifolds with a Constant Mean Curvature in a Manifold of Quasi-Constant Curvature

讨论了局部对称拟常曲率黎曼流形中具有常平均曲率向量的紧致无边子流形,给出了关于其第二基本形式模长平方S的积分不等式.

In this paper ,we obtain integral inequalities for the length square of the second fundamental form of M ,where M is a compact submanifold without boundary with constant mean curvature in Rieman‐nian manifold N of the quasi‐constant curvature .