关键词: 四元数射影空间, 2调和, 伪脐, 全实极小子流形, 全测地

Abstract:

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.

Key words: quaternion projective space, 2harmonic, pseduumbilical, totally real minimal submanifold, totally geodesic