A convergence theorem for Kleinian groups which are free products
type: Item
instance of: scholarly article
title: A convergence theorem for Kleinian groups which are free products
zbMATH Open document ID: 0882.30025
author: Ken'ichi Ohshika
published in: Mathematische Annalen
publication date: 1997-09-09T00:00:00Z
review text: In the theory of Kleinian groups the topology of quasiconformal deformation spaces is quite well understood whereas much remains to be done for a fuller understanding of the entire deformation spaces. To pave the way for further investigations the author sets out to provide tools to distinguish convergent sequences in the deformation space from divergent ones. A conjecture of Thurston in this direction is generalized to one for geometrically finite function groups. The purpose of this work is to prove the generalized conjecture for groups isomorphic to the free product of two closed surface groups under an additional technical assumption.
Mathematics Subject Classification ID: 30F40
Mathematics Subject Classification ID: 57M50
zbMATH DE Number: 1058817
zbMATH Keywords: Kleinian groups
zbMATH Keywords: deformation space
zbMATH Keywords: free product
reviewed by: Jürgen Elstrodt
MaRDI profile type: Publication
full work available at URL: s002080050101
OpenAlex ID: W2071095087
DOI: 10.1007/S002080050101
description: scientific article; zbMATH DE number 1058817