Articles

HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS

  • Debin LIU ,
  • Pan ZHANG
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  • 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

Received date: 2018-09-29

  Revised date: 2019-03-20

  Online published: 2020-04-14

Supported by

The first author was supported in part by NSFC (11625106, 11571332, 11721101), the second author was supported by the Fundamental Research Funds for the Central Universities (19lgpy239).

Abstract

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.

Cite this article

Debin LIU , Pan ZHANG . HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS[J]. Acta mathematica scientia, Series B, 2020 , 40(1) : 211 -225 . DOI: 10.1007/s10473-020-0114-z

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