4 papers
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…
A new higher order Yang--Mills--Higgs flow in Riemannian -manifold
Hemanth Saratchandran, Jiaogen Zhang, Pan Zhang
Let be a closed Riemannian -manifold and let be a vector bundle over with structure group , where is a compact Lie group. In this paper, we consider a new…
Higgs bundles over non-compact Gauduchon manifolds
Chuanjing Zhang, Pan Zhang, Xi Zhang
In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.
On CR Submanifolds of Maximal CR Dimension with Flat Normal Connection of a Complex Projective Space
Liang Zhang, Man Su, Pan Zhang
In this paper, we study the CR submanifolds of maximal CR dimension with flat normal connection of a complex projective space. We first investigate the position of the umbilical no…