On the Classification of Normal Stein Spaces and Finite Ball Quotients With Bergman–Einstein Metrics
On the Classification of Normal Stein Spaces and Finite Ball Quotients With Bergman–Einstein Metrics
Abstract We study the Bergman metric of a finite ball quotient $\mathbb{B}^n/\Gamma $, where $n \geq 2$ and $\Gamma \subseteq{\operatorname{Aut}}({\mathbb{B}}^n)$ is a finite, fixed point free, abelian group. We prove that this metric is Kähler–Einstein if and only if $\Gamma $ is trivial, that is, when the ball quotient $\mathbb{B}^n/\Gamma …