HERMITIAN-EINSTEIN METRICS FOR HIGGS BUNDLES OVER COMPLETE HERMITIAN MANIFOLDS

• 作 者: Debin LIU Pan ZHANG
• 机 构: School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China“
• 出 处: 数学物理学报（英文版）
• 发表日期: 2020年1期
• 关键词: Higgs bundles complete Hermitian manifolds Hermitian-Einstein metric

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.