Canonical metrics on generalized Hartogs triangles

This paper is concerned with the canonical metrics on generalized Hartogs triangles. As main contributions, we first show the existence of a Kähler–Einstein metric on generalized Hartogs triangles. On the other hand, we calculate the explicit expression for Rawnsley’s $\varepsilon $-function, and th...

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Bibliographic Details
Main Authors: Bi, Enchao, Hou, Zelin
Format: Article
Language:English
Published: Académie des sciences 2022-04-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.283/