6 citations · 14 across the 7 of their papers we have counts for
5 papers · 1 filter
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 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…
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…