Work

CSC Bergman metrics are Einstein on pseudoconvex domains

Year: 2026
Type: preprint
Abstract: Let $Ω\subset\mathbb C^n$($n\geq 3$) be a pseudoconvex domain with a smooth strongly pseudoconvex boundary point. We prove that if the Bergman metric of $Ω$ has constant scalar curvature, then it is necessarily Kähler--Einstein.
Language: English
Open Access status: green
OpenAlex ID: W7214004570
Cites: 5
Cited by: 1
Related to: 10