Locally Homogeneous Structures on Hopf Surfaces

被引：3

作者：

McKay, Benjamin ^{[1
]}

Pokrovskiy, Alexey ^{[2
]}

机构：

[1] Univ Coll Cork, Cork, Munster, Ireland

[2] London Sch Econ, London WC2A 2AE, England

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2010年 / 59卷 / 04期

关键词：

locally homogeneous structure; Hopf surface; COMPLEX ANALYTIC SURFACES; ORDINARY DIFFERENTIAL-EQUATIONS; HOLOMORPHIC FOLIATIONS; GEOMETRIC STRUCTURES; DIMENSION-4;

D O I：

10.1512/iumj.2010.59.4178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study holomorphic locally homogeneous geometric structures modelled on line bundles over the projective line. We classify these structures on primary Hopf surfaces. We write out the developing map and holonomy morphism of each of these structures explicitly on each primary Hopf surface.

引用

页码：1491 / 1539

页数：49

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