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

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.