拟常曲率Riemann流形中的伪脐点子流形

Pseudo-Umbilical Submanifolds in a Riemannian Manifold of Quasi Constant Curvature

中文关键词:  平行平均曲率  伪脐点子流形  极小子流形

英文关键词:parallel mean curvature  pseudo-umbilical submanifold  minimal submanifold

中文摘要:

      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．

英文摘要:

      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.