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Holomorphic Vector Bundle on Hopf Manifolds with Abelian Fundamental Groups 被引量:5
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作者 XiangYuZHOU WeiMingLIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第4期605-612,共8页
Let X be a Hopf manifolds with an Abelian fundamental group.E is a holomorphic vector bundle of rank r with trivial pull-back to W=■~n-{0}.We prove the existence of a non-vanishing section of L■E for some line bundl... Let X be a Hopf manifolds with an Abelian fundamental group.E is a holomorphic vector bundle of rank r with trivial pull-back to W=■~n-{0}.We prove the existence of a non-vanishing section of L■E for some line bundle on X and study the vector bundles filtration structure of E. These generalize the results of D.Mall about structure theorem of such a vector bundle E. 展开更多
关键词 vector bundle section Hopf manifolds
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