论文标题

伯格曼 - 因斯坦度量

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

论文作者

Huang, Xiaojun, Li, Xiaoshan

论文摘要

令$ω$为Stein空间,具有紧凑的平滑伪convex边界。如果$ \ hbox {reg}(ω)$是Kähler-Einstein,我们证明边界是球形的。

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 $\hbox{Reg}(Ω)$ is Kähler-Einstein.

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