数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (1): 211-225.doi: 10.1007/s10473-020-0114-z

• 论文 • 上一篇    下一篇

HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS

刘德斌1, 张攀2   

  1. 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
  • 收稿日期:2018-09-29 修回日期:2019-03-20 出版日期:2020-02-25 发布日期:2020-04-14
  • 通讯作者: Pan ZHANG E-mail:zhangpan5@mail.sysu.edu.cn
  • 基金资助:
    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).

HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS

Debin LIU1, Pan ZHANG2   

  1. 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:2018-09-29 Revised:2019-03-20 Online:2020-02-25 Published:2020-04-14
  • Contact: Pan ZHANG E-mail:zhangpan5@mail.sysu.edu.cn
  • 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).

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

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.

Key words: Higgs bundles, complete Hermitian manifolds, Hermitian-Einstein metric

中图分类号: 

  • 53C07