| 一类三维Hopf流形的自同构群和全纯向量场 |
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| 引用本文： | 杨永举,田颢.一类三维Hopf流形的自同构群和全纯向量场[J].南阳师范学院学报,2008,7(6):20-23. |
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| 作者姓名： | 杨永举 田颢 |
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| 作者单位： | 南阳师范学院,数学与统计学院,河南,南阳,473061 |
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| 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．
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| 关 键 词： | Hopf流形 自同构群 全纯向量 |
Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold |
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| YANG Yong-ju,TIAN Hao.Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold[J].Journal of Nanyang Teachers College,2008,7(6):20-23. |
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| Authors: | YANG Yong-ju TIAN Hao |
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| Institution: | (School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061 , China) |
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| Abstract: | 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. |
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| Keywords: | Hopf manifold automorphism groups holomorphic vector |
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