3 papers
math.DG2025
The rigidity of dimension estimate for holomorphic functions on Kähler manifolds
Jianchun Chu, Jie Deng, Zihang Hao +1
In this paper, we obtain the optimal rigidity of dimension estimate for holomorphic functions with polynomial growth on Kähler manifolds with non-negative holomorphic bisectional c…
math.DG2024
Spectral comparison results for the -Bakry-Emery Ricci tensor
Jianchun Chu, Zihang Hao
We establish the diameter and global weighted volume comparison when the -Bakry-Emery Ricci tensor has a positive lower bound in the spectrum sense.
math.DG2022
Hypercritical deformed Hermitian-Yang-Mills equation revisited
Jianchun Chu, Man-Chun Lee
In this paper, we study the hypercritical deformed Hermitian-Yang-Mills equation on compact Kähler manifolds and resolve two conjectures of Collins-Yau.