一类三维Hopf流形的自同构群和全纯向量场  

Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold

作　　者：杨永举[1] 田颢[1] 

机构地区：[1]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《南阳师范学院学报》2008年第6期20-23,共4页Journal of Nanyang Normal University

摘　　要：Hopf流形是一类重要的复流形.利用群作用的方法,构造了一类三维Hopf流形.利用Hartogs定理和万有覆盖理论,计算出这类流形的自同构群和全纯向量场.Hopf manifold is an important complex manifold. In this paper,a three-dimensional Hopf manifold is constructed by applications of group action. Meanwhile, the holomorphic vectors and holmorphic automorphism groups are calculated by means of Hartogs theorem and universal covering theory.

关 键 词：HOPF流形 自同构群 全纯向量 

分 类 号：O174.56[理学—数学]