The limit of the harmonic flow on flat complex vector bundle

2021/01/19 by Xi Zhang, Zhang, Xi · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2101.07443

openalex publication_date 2021/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the limiting behaviour of the harmonic flow on flat complex vector bundle, and prove the limit must be isomorphic to the graded flat complex vector bundle associated to the Jordan-Hölder filtration.

Cited by

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

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