关于复流形及其子流形

Complex Manifolds and it's Submanifolds

对复流形及其子流形上的研究作了比较详细的介绍 ,从复流形的 3个研究分支 :全纯子流形、全实子流形和CR -子流形入手 ,分别介绍了 3个流形的定义以及这 3种子流形目前的研究动态 ,并且指出了一些目前尚未解决的问题 。

In this paper we introduce the research of complex manifolds and it's submanifolds in detail.We begin it with three branches,which is called Holomorphic submanifold,Anti-invariant submanifold,CR-submanifold,to introduce the definitions of the three types of submanifolds and the present trends of research which is based on the three types of submanifolds,and we point out some problems that did not solve up to now.We also provide some information about the theory of submanifold,which outside space is indefinite complex manifold.