Holomorphic Vector Bundle on Hopf Manifolds with Abelian Fundamental Groups

被引：0

作者：

Xiang Yu ZHOU Institute of Mathematics

机构：

来源：

ActaMathematicaSinica(EnglishSeries) | 2004年 / 20卷 / 04期

关键词：

Vector bundle section; Hopf manifolds;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

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.

引用

页码：605 / 612

页数：8

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