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math.CV2026
CSC Bergman metrics are Einstein on pseudoconvex domains
Xiaoshan Li, Taishun Liu
Let () be a pseudoconvex domain with a smooth strongly pseudoconvex boundary point. We prove that if the Bergman metric of has constant scalar cur…
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…