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arxiv: 2606.01319 · v1 · pith:3JFTCA43new · submitted 2026-05-31 · 🧮 math.CV

A note on csc Bergman metric

classification 🧮 math.CV
keywords bergmandomainmetricnotepseudoconvexboundaryconstantcurvature
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In this note, we show that if the Bergman metric of a pseudoconvex domain in $\mathbb C^n$($n\geq 3$) has constant scalar curvature, then every strongly pseudoconvex boundary point of the domain is spherical.

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