48 citations · 178 across the 30 of their papers we have counts for
6 papers · 1 filter
Kähler tori with almost non-negative scalar curvature
Jianchun Chu, Man-Chun Lee
Motivated by the torus stability problem, in this work we study Kähler metrics with almost non-negative scalar curvature on complex torus. We prove that after passing to a subseque…
Fully non-linear elliptic equations on compact almost Hermitian manifolds
Jianchun Chu, Liding Huang, Jiaogen Zhang
In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the…
Hypercritical deformed Hermitian-Yang-Mills equation
Jianchun Chu, Man-Chun Lee
In this work, we study the deformed Hermitian-Yang-Mills equation on compact Kähler manifold. We introduce the notions of coerciveness and properness of the -functiona…
A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation
Jianchun Chu, Man-Chun Lee, Ryosuke Takahashi
The deformed Hermitian-Yang-Mills equation is a complex Hessian equation on compact Kähler manifolds that corresponds to the special Lagrangian equation in the context of the Strom…
On the Hölder estimate of Kähler-Ricci flow
Jianchun Chu, Man-Chun Lee
In this work, we study the H\"older regularity of the Kähler- Ricci flow on compact Kähler manifolds with semi-ample canonical line bundle. By adapting the method in the work of…
Conformal tori with almost non-negative scalar curvature
Jianchun Chu, Man-Chun Lee
In this work, we consider sequence of metrics with almost non-negative scalar curvature on torus. We show that if the sequence is uniformly conformal to another sequence of metrics…