Poisson metrics and Higgs bundles over noncompact K\"ahler manifolds
Abstract
In this paper, we study the existence of Poisson metrics on flat vector bundles over noncompact Riemannian manifolds and discuss related consequence, specially on the applications in Higgs bundles, towards generalizing Corlette-Donaldson-Hitchin-Simpson's nonabelian Hodge correspondence to noncompact K\"ahler manifolds setting.
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