34 citations · 123 across the 37 of their papers we have counts for
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math.DG2023
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…
math.DG2023
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…
math.DG2023
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…