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Poisson metrics and Higgs bundles over noncompact Kähler manifolds

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Abstract

In this paper, we study existence, uniqueness of Poisson metrics and K-analytically stability on flat bundles over noncompact Riemannian manifolds and establish related consequences, specially on concerning generalizations of Corlette–Donaldson–Hitchin–Simpson’s nonabelian Hodge correspondence to noncompact Kähler manifolds setting.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Di Wu & Xi Zhang

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  1. Di Wu
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  2. Xi Zhang
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Correspondence to Xi Zhang.

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Communicated by A. Mondino.

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The research was supported by the National Key R and D Program of China 2020YFA0713100, The authors was supported in part by NSF in China, Nos. 12141104, 11721101 and 11625106

Di Wu is also supported by the Jiangsu Funding Program for Excellent Postdoctoral Talent 2022ZB282.

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Wu, D., Zhang, X. Poisson metrics and Higgs bundles over noncompact Kähler manifolds. Calc. Var. 62, 20 (2023). https://doi.org/10.1007/s00526-022-02343-z

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