关于四元射影空间的一般极小子流形

On Generic Minimal Submanifolds of a Quaternionic Projective Space

本文研究四元射影空间的一般极小子流形，建立了一个积分公式，并且用此公式得到了紧致一般极小子流形的截曲率的Ｐｉｎｃｈｉｎｇ结果．

The purpose of the present paper is to study generic minimal submanifold of quaternionic projective space, an integral formula is obtained, and we obtain the sectional curvature's pinching theorem of the compact minimal submanifold.