5 papers
Hermitian-Poisson metrics on projectively flat complex vector bundles over non-compact Gauduchon manifolds
Jie Geng, Zhenghan Shen, Xi Zhang
In this paper, we investigate the projectively flat bundles over a class of non-compact Gauduchon manifolds. By combining heat flow techniques and continuity methods, we establish…
The Limit of the Yang-Mills-Higgs Flow for twisted Higgs pairs
Changpeng Pan, Zhenghan Shen, Pan Zhang
In this paper, we consider the Yang-Mills-Higgs flow for twisted Higgs pairs over Kähler manifolds. We prove that this flow converges to a reflexive twisted Higgs sheaf outside a c…
Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds
Zhenghan Shen
In this paper, we study the semi-stable twisted holomorphic vector bundles over compact Gauduchon manifolds. By using Uhlenbeck--Yau's continuity method, we show that the existence…
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…
Flat Higgs bundles over non-compact affine Gauduchon manifolds
Zhenghan Shen, Chuanjing Zhang, Xi Zhang
In this paper, we use the affine Hermitian-Yang-Mills flow to prove a generalized Donaldson-Uhlenbeck-Yau theorem on flat Higgs bundles over a class of non-compact affine Gauduchon…