3 papers
math.CV2026
A note on csc Bergman metric
Xiaojun Huang, Xiaoshan Li
In this note, we show that if the Bergman metric of a pseudoconvex domain in () has constant scalar curvature, then every strongly pseudoconvex boundary point…
math.CV2026
Localization of Bergman Kernels and the Cheng-Yau Conjecture on Real Analytic Pseudoconvex Domains
Chin-Yu Hsiao, Xiaojun Huang, Xiaoshan Li
In this paper, we establish the localization of Bergman kernels for unbounded pseudoconvex domains near boundary points of finite D'Angelo type. This result was proved by Engliš mo…
math.CV2026
On Point Separation of Bergman Space on Stein Manifolds with Constant Holomorphic Sectional Curvature
Xiaojun Huang, Song-Ying Li
We prove that the Bergman space of a Stein manifold separates points whenever its Bergman metric is well defined and has non-positive constant holomorphic sectional curvature. We c…