复射影空间中具有常数量曲率的全实子流形

摘要

In this paper, by choosing a suitable frame field, we discussed the totally real submanifolds with constant scalar curvture in the complex projective space and obtain a rigidity theorem that it becomes totally umbilical submanifold and improve the related results.%　　通过活动标架法，研究了复射影空间中具有常数量曲率的全实子流形，得到其成为全脐子流形的刚性定理，并推广了相关结果。