复射影空间

在本文第一章中运用Hopf纤维化方法研讨了复射影空间中极小子流形的整体pinching问题，得到了：定理A。

We use the Hopf fibration in the first chapter to study the global pinching problems of minimal submanifolds in complex projective space and we get : Theorem A.

复射影空间的全实调和叶层

Totally Real Harmonic Foliations on a Complex Projective Space

G5作用下的上同调复射影空间

Cohomology Complex Projective Space with Actions of G 5

复射影空间的复叶层三层复合板的r值研究

Complex Foliations on a Complex Projective Space Study on Lankford ( r ) of Three-Layer Composite

复射影空间中复子流形的整体Pinching定理

Overall Pinching Law of Complex Submanifolds in Complex Projective Spaces

研究复射影空间中紧致全实极小子流形和法丛平坦子流形，得到了关于数量曲率和截面曲率的几个Pinching定理。

This note deals with compact totally real minimal submanifolds in complex projective spaces and submanifolds with flat normal bundle . Some pinching theorems for scalar curvature and sectional curvature are obtained .

复射影空间中全实的2&调和等距浸入子流形

Totally real 2-harmonic isometric immersed Submanifolds of a complex projective space

复射影空间中子流形的诱导度量

On the induced metric of Submanifolds immersed into complex projective spaces

n维复射影空间配极的一个应用

An Application of the Polar Theory in N-Dimension Complex Projective Space

文章以二维复射影空间为论域。

This essay in concerned with two dimension of complex projection space .

2-球面到广义复射影空间的全纯映射

Holomorphic maps of 2 - spheres into a generalized complex projective spaces

极小浸入在复射影空间中的完备全实子流形

Complete Totally Real Submanifolds Minimally Immersed in CP ~ n

复射影空间的黎曼结构及其体积元

Riemannian Structure on Complex Projective and Its Volume Element

关于复射影空间的实超曲面的注记

On Real Hypersurfaces in a Complex Projective Space

复射影空间中一类全实子流形

Totally real submanifold in the complex projective space

我们证明了如果它还是半平行的，则它必是全测地浸入，而且这一结果对于复射影空间和复双曲空间中的半对称浸入也成立。

And we show that if such a immersion is also semi-parallel , it must be totally geodesic . Moreover the same results hold for semi-symmetric submanifolds in a nontrivial complex-space-form .

获得了复射影空间中全实全脐子流形的若干性质，并且证明了复射影空间中具有平行平均曲率向量的正曲率紧致全实子流形必是伪脐的。

In this paper , some properties of totally real and totally umbilical submanifolds of a complex projective space are obtained . We also prove that a compact totally real submanifold with positive curvature and parallel mean curvature vector of a complex projective space must be pseudo-umbilical .

本文得到了复n维射影空间的n维紧致全实极小子流形的一些积分不等式和几何性质。

We obtained some integral inequalities and geometric properties for compact minimal totally real submanifolds of a complex projective space .