Sasakian　空间型中切触分布的伪脐积分子流形

On pseudo-umbilical integral submanifolds of a contact distribution of Sasakian space form

研究了Ｓａｓａｋｉａｎ空间型中切触分布的积分子流形，得到了伪脐积分子流形的两个内蕴刚性定理，作为推论得到：设Ｍ是Ｍ２ｎ＋１（ｃ）（ｃ＞－３）中紧致极小积分子流形，如果，则Ｍ全测地．

The integral submanifolds of a contact distribution of Sasakian space form is studied. Two intrisic rigidity theorems of the psetldo-umbilited integral submanifolds are proved and the corollary is obtained.Let M be a compact minimal integral submanifold of a Sasakian space form M2n-1(c), If. Then M is totally geodesic.