【摘要】 讨论了局部对称完备黎曼流形中具有平行平均曲率向量场的紧致伪脐子流形,得到了这类子流形成为全脐子流形及其余维数减小的几个拼挤定理。更多还原

【Abstract】 The author discussed the compact pseudo-umbilical submanifolds Mn with parallel mean curvature vector in a locally symmetric Riemannian manifold Nn+p,and got some pinching theorems that Mn formed a totally umbilical submanifold and reduction of the codimension.更多还原