FIBRATIONS AND FUNDAMENTAL GROUPS OF KAHLER-WEYL MANIFOLDS

被引：14

作者：

Kokarev, G. ^{[1
,2
]}

Kotschick, D. ^{[2
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Univ Munich, Math Inst, D-80333 Munich, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

TWISTOR SPACES; GEOMETRY;

D O I：

10.1090/S0002-9939-09-10110-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the Siu-Beauville theorem to a certain class of compact Kahler-Weyl manifolds, proving that they fiber holomorphically over hyperbolic Riemannian surfaces whenever they satisfy the necessary topological hypotheses. As applications we obtain restrictions oil the fundamental groups of such Kahler-Weyl manifolds, and we show that in cases they are in fact Kahler.

引用

页码：997 / 1010

页数：14

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