The authors studied the totally real 2-harmonic and psedu-umbilical submanifolds in a quaternion projective space by the method of moving frame and obtained a promotion of Simons' type integral inequality of compact submanifolds as well as some pinching theorems.%利用活动标架法研究四元数射影空间中的全实2-调和伪脐子流形,得到了这类子流形成为极小子流形的刚性定理,推广了Simons型积分不等式.
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