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

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.

21 pages