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

被引：76
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.
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页码：207 / 228
页数：22
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