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arXiv · 2512.08275

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

Xiaojun Huang·Scott James·Xiaoshan Li
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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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Xiaojun Huang, Scott James, Xiaoshan Li. 2025-12-09. On the Bergman metric of a pseudoconvex domain with a strongly pseudoconvex polyhedral boundary point. https://arxiv.org/abs/2512.08275

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