6 citations · 18 across the 11 of their papers we have counts for
12 papers
Convergence of Generalized Kähler--Ricci Flow on Toric Fano Manifolds
Liding Huang, Xiaohua Zhu
We first define an extended Mabuchi functional for a class of generalized Kähler metrics of symplectic type on a toric Fano manifold , and prove it is proper. The…
A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds
Liding Huang
In this paper, we generalize the definition of sub-slope, introduced by Guo-Song, to almost Hermitian manifolds and prove the existence of solutions for a general class of fully no…
The form-type Calabi-Yau equation on a class of complex manifolds
Liding Huang
In this paper, we study the form type Calabi-Yau equation. We define the astheno-Ricci curvature and prove that there exists a solution for the form type Calabi-Yau equation if the…
The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation
Liding Huang, Jiaogen Zhang
The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain . By using …
Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds
Liding Huang, Jiaogen Zhang
In this paper, we establish second order estimates for a general class of fully nonlinear equations with linear gradient terms on compact almost Hermitian manifolds. As an applicat…
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…
The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
Liding Huang, Jiaogen Zhang, Xi Zhang
In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of hypercritical phase, we derive a priori estimates under t…
The adiabatic limit of Fu-Yau equations
Liding Huang
In this paper, we consider the adiabatic limit of Fu-Yau equations on a product of two Calabi-Yau manifolds. We prove that the adiabatic limit of Fu-Yau equations are quasilinear e…
On stability of the fibres of Hopf surfaces as harmonic maps and minimal surfaces
Jingyi Chen, Liding Huang
We construct a family of Hermitian metrics on the Hopf surface , whose fundamental classes represent distinct cohomology classes in the Aeppli coh…
The Fu-Yau equation on compact astheno-Kähler manifolds
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kähler manifolds. We also prove the uniquenes…
The Fu-Yau equation in higher dimensions
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we prove the existence of solutions to the Fu-Yau equation on compact Kähler manifolds. As an application, we give a class of non-trivial solutions of the modified S…
The -nd Hessian type equation on almost Hermitian manifolds
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we derive the second order estimate to the -nd Hessian type equation on a compact almost Hermitian manifold.