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On the Bergman metric of a pseudoconvex domain with a strongly pseudoconvex polyhedral boundary point

Published 9 Dec 2025 in math.CV and math.DG | (2512.08275v1)

Abstract: Let $D\subset\mathbb{C}n$ with $n>1$ be a pseudoconvex domain, possibly unbounded, that contains a non-smooth strongly pseudoconvex polyhedral boundary point. We show that the Bergman metric of $D$ is not Einstein.

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