activity
20172026
most citedA mean value formula and a Liouville theorem for the complex Monge-Ampère equation

3 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.DG2026

Long-time behavior of the Hermitian-Yang-Mills flow on non-Kähler manifolds

Zeng Chen, Chao Li, Chuanjing Zhang +1

In this paper, we study the long-time behavior of the Hermitian-Yang-Mills flow over compact Hermitian manifolds. We obtain the monotonicity of lower bound and upper bound of the e…

math.DG2021★ 1 cited

Mean curvature positivity and rational connectedness

Chao Li, Chuanjing Zhang, Xi Zhang

In this paper, we use Uhlenbeck-Yau's continuity method to establish the correspondence between the mean curvature positivity and the HN-positivity on holomorphic vector bundles ov…

math.DG2019

A note on the generalization of the Kodaira embedding theorem

Chao Li, Xi Zhang, QiZhi Zhao

In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.

math.DG2019

Numerically flat holomorphic bundles over non Kähler manifolds

Chao Li, Yanci Nie, Xi Zhang

In this paper, we study numerically flat holomorphic vector bundles over a compact non-Kähler manifold with the Hermitian metric satisfying the Gauduchon and Astheno-K…

math.DG2018

Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball

Chao Li, Jiayu Li, Xi Zhang

In this paper, we consider the Dirichlet problem of a complex Monge-Ampère equation on a ball in . With (resp. ) data, we prove an…

math.DG2017★ 3 cited

A mean value formula and a Liouville theorem for the complex Monge-Ampère equation

Chao Li, Jiayu Li, Xi Zhang

In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature. As its app…

math.DG2017★ 1 cited

A estimate of the complex Monge-Ampère equation

Chao Li, Jiayu Li, Xi Zhang

In this paper, we prove a -estimate for the solution to the complex Monge-Ampère equation with , under the assumption…