HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS  

作　　者：Debin LIU Pan ZHANG 刘德斌;张攀(School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,China;School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China)

机构地区：[1]School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,China [2]School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China

出　　处：《Acta Mathematica Scientia》2020年第1期211-225,共15页数学物理学报（B辑英文版）

基　　金：supported in part by NSFC(11625106,11571332,11721101);the second author was supported by the Fundamental Research Funds for the Central Universities(19lgpy239)。

摘　　要：In this paper,we solve the Dirichlet problem for the Hermitian-Einstein equations on Higgs bundles over compact Hermitian manifolds.Then we prove the existence of the Hermitian-Einstein metrics on Higgs bundles over a class of complete Hermitian manifolds.

关 键 词：Higgs BUNDLES COMPLETE HERMITIAN manifolds Hermitian-Einstein metric 

分 类 号：O186.1[理学—数学]