A characterization of certain weakly pseudoconvex domains
type: Item
instance of: scholarly article
title: A characterization of certain weakly pseudoconvex domains
zbMATH Open document ID: 0938.32020
author: Akio Kodama
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2000-06-15T00:00:00Z
full work available at URL: http://hdl.handle.net/2297/40360
review text: In the context of the problem of giving conditions in order to ensure the possibility to determine the global structure of a bounded domain in \({\mathbb C}^n \) from the local shape of its boundary near a point, the author characterizes certain weakly pseudoconvex domains from the viewpoint of biholomorphic automorphism group. He also gives some assumptions under which such a domain is the underlying set of a generalized complex ellipsoid in \({\mathbb C}^n \). The proofs are mainly based on some extension theorems on proper holomorphic mappings and CR-mappings and on the existence of Webster's CR-invariant metrics on strictly pseudoconvex real analytic hypersurfaces in \({\mathbb C}^n \) without umbilical points.
reviewed by: Eugen Pascu
Mathematics Subject Classification ID: 32T99
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 32H35
Mathematics Subject Classification ID: 32V40
zbMATH DE Number: 1321873
zbMATH Keywords: weakly pseudoconvex domain
zbMATH Keywords: holomorphic mapping
zbMATH Keywords: CR-mapping
MaRDI profile type: Publication
OpenAlex ID: W2024586788
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DOI: 10.2748/TMJ/1178224852
description: scientific article; zbMATH DE number 1321873