34 citations · 123 across the 37 of their papers we have counts for
36 papers · 1 filter
Prescribing Chern scalar curvatures on noncompact manifolds
Di Wu, Xi Zhang
In this paper, we investigate the noncompact prescribed Chern scalar curvature problem which reduces to solve a Kazdan-Warner type equation on noncompact non-Kähler manifolds. By i…
Harmonic metrics and semi-simpleness
Di Wu, Xi Zhang
Given a flat vector bundle over a compact Riemannian manifold, Corlette and Donaldson proved that it admits harmonic metrics if and only if it is semi-simple. In this paper, we ext…
On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles
Changpeng Pan, Zhenghan Shen, Xi Zhang
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 sem…
Mean curvature positivity and rational connectedness
Chao Li, Chuanjing Zhang, Xi Zhang
In this paper, we use Uhlenbeck-Yau's continuity method to establish the correspondence between the mean curvature positivity and the HN-positivity on holomorphic vector bundles ov…
Poisson metrics and Higgs bundles over noncompact Kähler manifolds
Di Wu, Xi Zhang
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…
The limit of the harmonic flow on flat complex vector bundle
Xi Zhang
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 as…