佐佐木空间型中的伪脐积分子流形

Pseudo-Umbilical Integral Submanifolds in Sasakian Space Form

设Ｍｎ是２ｎ＋１维佐佐木空间型Ｎ（２ｎ＋１）（Ｃ）中的ｎ维伪脐积分子流形．本文获得了两个积分不等式及Ｍｎ为全测地的一个充分条件．

Let M be an n-dimensional pseudo-umbilical integral submanifold in (2n+1)dimensionalSasakian space form,we obtain two integral inequalities and a sufficient condition under which M is totallygeodesic.