Bounded domains with prescribed group of automorphisms
type: Item
instance of: scholarly article
title: Bounded domains with prescribed group of automorphisms
zbMATH Open document ID: 0647.32027
DOI: 10.1007/BF02564462
author: Eric Bedford
author: Jiri Dadok
published in: Commentarii Mathematici Helvetici
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/140098
review text: It is shown that any compact and connected Lie group is the automorphism group of a strongly pseudoconvex domain with real analytic boundary. This is an interesting result and the construction presented in this paper is quite explicit. In the general case, the strongly pseudoconvex domain, with a given compact and connected Lie group G as the group of automorphisms, is constructed inside the complexification of G. The introduction of this otherwise nice paper contains an unfortunate remark. There certainly are Riemann surfaces with the circle group as the group of automorphisms.
Mathematics Subject Classification ID: 32M05
Mathematics Subject Classification ID: 22E10
zbMATH DE Number: 4056041
zbMATH Keywords: Lie groups
zbMATH Keywords: automorphism group
zbMATH Keywords: pseudoconvex domains
reviewed by: Mika Seppälä
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4056041