摘要
研究了拟常曲率Riemann流形中具有平行平均曲率向量的伪脐点子流形,得到了一个Simons型公式.
The pseudo-umbilical n-submanifolds with parallel mean curvature in an (n+p)-Riemannian manifold of quasi constant curvature are discussed. A formula of simons'type is obtained.
关键词
平行平均曲率
伪脐点子流形
黎曼流形
拟常曲率
parallel mean curvature,pseudo-umbilical submanifold, minimal submanifold