4 citations · 13 across the 8 of their papers we have counts for
8 papers
Stable Abelian Yang--Mills--Higgs Fields on the Round Three-Sphere
Xishen Jin
We prove that every stable weak critical point of the self-dual abelian Yang--Mills--Higgs energy on the round three-sphere is gauge equivalent to the vacuum, for every positive sc…
Stability of the generalized Lagrangian mean curvature flow in cotangent bundle
Xishen Jin, Jiawei Liu
In this paper, we consider the stability of the generalized Lagrangian mean curvature flow of graph case in the cotangent bundle, which is first defined by Smoczyk-Tsui-Wang. By ne…
Stability and energy identity for Yang-Mills-Higgs pairs
Xiaoli Han, Xishen Jin, Yang Wen
In this paper, we study the properties of the critical points of Yang-Mills-Higgs functional, which are called Yang-Mills-Higgs pairs. We first consider the properties of weakly st…
Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kaehler manifolds
Xiaoli Han, Xishen Jin
In this paper, we investigate the Chern number inequalities on -dimensional Kähler manifolds admitting the deformed Hermitian-Yang-Mills metrics under the assumption $\hatθ\in (…
Stability of line bundle mean curvature flow
Xiaoli Han, Xishen Jin
Let be a compact Kähler manifold of complex dimension and be a holomorphic line bundle over . The line bundle mean curvature flow was introduced in \cite{JY}…
A rigid theorem for deformed Hermitian-Yang-Mills equation
Xiaoli Han, Xishen Jin
In this paper, we study the deformed Hermitian-Yang-Mills equation on compact Kähler manifold with non-negative orthogonal bisectional curvature. We prove that the curvatures of de…
Uniqueness of Constant Scalar Curvature Sasakian Metrics
Xishen Jin, Xi Zhang
In this paper, we prove that the transverse Mabuchi K-energy functional is convex along the weak geodesic in the space of Sasakian metrics. As an application, we obtain the uniquen…
Twisted and conical Kähler-Ricci soliton on Fano manifolds
Xishen Jin, Jiawei Liu, Xi Zhang
In this paper, we consider the twisted Kähler-Ricci soliton, and show that the existence of twisted Kähler-Ricci soliton with semi-positive twisting form is closely related to the…