On Bergman completeness and Bergman stability
type: Item
instance of: scholarly article
title: On Bergman completeness and Bergman stability
zbMATH Open document ID: 0981.32005
author: Jinhao Zhang
author: Boyong Chen
published in: Mathematische Annalen
publication date: 2002-03-07T00:00:00Z
review text: It is proved that any bounded pseudoconvex domain in \(\mathbb{C}^n\) whose boundary can be described locally as a graph of a continuous function in suitable coordinates in \(\mathbb{C}^n\), is complete with respect to the Bergman metric. The question of stability of the Bergman function is also considered.
Mathematics Subject Classification ID: 32A25
Mathematics Subject Classification ID: 30C40
zbMATH DE Number: 1545455
zbMATH Keywords: Bergman completeness
zbMATH Keywords: Bergman function
zbMATH Keywords: stability
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1545455