Bergman-Einstein metrics on two-dimensional Stein spaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2022
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912023121494016 |
|---|---|
| author | Ganguly, Soumya Sinha, Shubham |
| author_facet | Ganguly, Soumya Sinha, Shubham |
| contents | We show that the Bergman metric of the ball quotients $\mathbb{B}^2/Γ$, where $Γ$ is a finite and fixed point free group, is Kähler-Einstein if and only if $Γ$ is trivial. As a consequence, we characterize the unit ball $\mathbb{B}^2$, among 2 dimensional Stein spaces with isolated normal singularities, proving an algebraic version of Cheng's conjecture for 2 dimensional Stein spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_12323 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bergman-Einstein metrics on two-dimensional Stein spaces Ganguly, Soumya Sinha, Shubham Complex Variables Metric Geometry 32Q20 (Primary), 32V20, 32C15, 32M18 We show that the Bergman metric of the ball quotients $\mathbb{B}^2/Γ$, where $Γ$ is a finite and fixed point free group, is Kähler-Einstein if and only if $Γ$ is trivial. As a consequence, we characterize the unit ball $\mathbb{B}^2$, among 2 dimensional Stein spaces with isolated normal singularities, proving an algebraic version of Cheng's conjecture for 2 dimensional Stein spaces. |
| title | Bergman-Einstein metrics on two-dimensional Stein spaces |
| topic | Complex Variables Metric Geometry 32Q20 (Primary), 32V20, 32C15, 32M18 |
| url | https://arxiv.org/abs/2210.12323 |