摘要
近年来非代数流形上的全纯向量丛,得到了许多作者的关注.Hopf流形是一类重要的紧的非代数的流形.本文研究了主Hopf流形上平坦的全纯向量丛.利用群作用的方法,具体给出了两类主Hopf流形上平坦的全纯向量丛上同调维数的计算公式.
Vector Bundle on non-algebraic manifolds is an important problem in complex geometry. It received many authors＇attention. Hopf manifolds is an important class of compact non--algebraic manifolds. In this paper,a explicit expression of the cohomology groups H^q （X,Ω^p （E）） , （0≤q≤n） of holomorphic flat vector bundles was given on two class of primary Hopf manifolds. These results can be applied to study the problem on the existence and the structure for a continuous complex vector bundle.
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第3期302-305,共4页
Journal of Xiamen University：Natural Science
基金
国家自然科学基金(10601040)
集美大学科研基金资助
关键词
HOPF流形
上同调
全纯向量丛
primary Hopf manifold
cohomology
holomorphic classification of a holomorphic structure or a holomorphic filtrable vector bundles
