On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles

2023/01/04 by Pan, Changpeng, Shen, Zhenghan, Zhang, Xi · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2301.01428

Abstract

In this paper, we study the non-Hermitian Yang-Mills (NHYM for short) bundles over compact Kähler manifolds. We show that the existence of harmonic metrics is equivalent to the semisimplicity of NHYM bundles, which confirms the Conjecture 8.7 in \citeKV.

Cited by

• Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds

Related

• Harmonic metrics and semi-simpleness
• Hermitian-Yang-Mills connections on some complete non-compact Kähler manifolds
• The limiting behaviour of Hermitian-Yang-Mills flow over compact non-Kähler manifolds
• Harmonic metrics on unipotent bundles over quasi-compact Kaehler manifolds
• Higgs Bundles and Holomorphic Forms