Existence of approximate Hermitian-Einstein structures on semi-stable Higgs bundles

被引：34
|
作者：
Li, Jiayu [1 ,2 ]
Zhang, Xi [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
[2] Chinese Acad Sci, AMSS, Beijing 100080, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 52卷 / 3-4期
关键词：
VECTOR-BUNDLES; DIMENSIONAL REDUCTION; KAHLER-MANIFOLDS; RIEMANN SURFACE; METRICS; CONNECTIONS; CURVATURE;
D O I：
10.1007/s00526-014-0733-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using Donaldson's heat flow, we show that the semi-stability of a Higgs bundle over a compact Kahler manifold implies the existence of approximate Hermitian-Einstein structure.
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页码：783 / 795
页数：13
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