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arXiv · 2609.24853

CSC Bergman metrics are Einstein on pseudoconvex domains

Xiaoshan Li·Taishun Liu
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Abstract

Let $Ω\subset\mathbb C^n$($n\geq 3$) be a pseudoconvex domain with a smooth strongly pseudoconvex boundary point. We prove that if the Bergman metric of $Ω$ has constant scalar curvature, then it is necessarily Kähler--Einstein.

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Xiaoshan Li, Taishun Liu. 2026-09-21. CSC Bergman metrics are Einstein on pseudoconvex domains. https://arxiv.org/abs/2609.24853

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