Einstein-Hermitian connections on polystable principal bundles over a compact Kahler manifold

被引：77

作者：

Anchouche, B

Biswas, I

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2001年 / 123卷 / 02期

关键词：

D O I：

10.1353/ajm.2001.0007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a compact Kahler manifold M and a connected reductive algebraic group C over C a principal G-bundle over M admits an Einstein-Hermitian connection if and only if the principal bundle is polystable. If M is a projective manifold, a Higgs G-bundle over A l admits an Einstein-Hermitian connection if and only if the Higgs bundle is polystable.

引用

页码：207 / 228

页数：22

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