Holomorphic families of isomorphisms of Möbius groups
type: Item
instance of: scholarly article
title: Holomorphic families of isomorphisms of Möbius groups
zbMATH Open document ID: 0598.30063
author: Lipman Bers
published in: Journal of Mathematics of Kyoto University
publication date: 1986-01-01T00:00:00Z
review text: In this paper the author reproves and sharpens a result of D. Sullivan showing that the members of an analytic family of isomorphic Kleinian groups are quasiconformally conjugate to one another. The proof uses a recent result of the author and H. S. Royden which characterises those quasiconformal mappings in a certain class having harmonic Beltrami coefficient.
Mathematics Subject Classification ID: 30F40
Mathematics Subject Classification ID: 32G15
zbMATH DE Number: 3964354
zbMATH Keywords: quasiconformal mappings
zbMATH Keywords: Beltrami coefficient
reviewed by: Samuel James Patterson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250520965
OpenAlex ID: W2050377086
DOI: 10.1215/KJM/1250520965
description: scientific article; zbMATH DE number 3964354