复射影空间的复叶层

Complex Foliations on a Complex Projective Space

本文的目的是证明复射影空间中具有类丛度量的复叶层是全测地的，只要第二基本形式长度的平方不大于（ｎ＋２）／３，这里ｎ是复叶层的复维数。

The purpose of this paper is to prove that a complex foliation on a complex projectivespace with bundle-like metric is a totally geodesic foliation,whenever the square of the lengthof the second fundamental form is not greater than(n+2)/3,where n is complex dimension ofthe complex foliation.