Bergman-Einstein metric on a Stein space with a strongly pseudoconvex boundary

2020/08/09 by Huang, Xiaojun, Li, Xiaoshan · 3 citations
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.03645

Abstract

Let Ω be a Stein space with a compact smooth strongly pseudoconvex boundary. We prove that the boundary is spherical if its Bergman metric over \hboxReg(Ω) is Kähler-Einstein.

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