On strictly pseudoconvex domains with Kähler-Einstein Bergman metrics
type: Item
instance of: scholarly article
title: On strictly pseudoconvex domains with Kähler-Einstein Bergman metrics
zbMATH Open document ID: 0895.32005
author: Siqi Fu
author: Bun Wong
published in: Mathematical Research Letters
publication date: 1998-03-26T00:00:00Z
review text: The authors prove that a smoothly bounded, strictly pseudoconvex domain in \(\mathbb{C}^n\) with Bergman metric that is Kähler-Einstein must be the ball. This adds a nice new result to the roster of intrinsic characterizations of the ball that have been discovered in the past twenty years. Key to the arguments in the paper is the following result of Burns: If a strongly pseudoconvex domain has Bergman kernel asymptotic expansion of Fefferman with no logarithmic term at any boundary point then the domain is the ball.
Mathematics Subject Classification ID: 32Q15
Mathematics Subject Classification ID: 32A25
zbMATH DE Number: 1117491
zbMATH Keywords: Kähler-Einstein Bergman metrics
zbMATH Keywords: strictly pseudoconvex domain
reviewed by: Steven G. Krantz
MaRDI profile type: Publication
full work available at URL: mrl.1997.v4.n5.a7
OpenAlex ID: W1997697994
DOI: 10.4310/MRL.1997.V4.N5.A7
description: scientific article; zbMATH DE number 1117491