On limits of quasi-conformal deformations of Kleinian groups
type: Item
instance of: scholarly article
title: On limits of quasi-conformal deformations of Kleinian groups
zbMATH Open document ID: 0681.30025
DOI: 10.1007/BF01160674
author: Ken'ichi Ohshika
published in: Mathematische Zeitschrift
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174044
review text: This is a well written, thorough study of compactness properties within spaces of Kleinian grups, in spirit of the work of Bers and Maskit on Teichmüller spaces or Thurston's double limit theorem.
Mathematics Subject Classification ID: 30F40
zbMATH DE Number: 4114969
zbMATH Keywords: geometrically finite group
zbMATH Keywords: measured lamination
zbMATH Keywords: hyperbolic
zbMATH Keywords: 3-manifold
zbMATH Keywords: Kleinian grups
reviewed by: Troels Jørgensen
MaRDI profile type: Publication
cites work: On boundaries of Teichmüller spaces and on Kleinian groups. III
cites work: Finitely Generated Kleinian Groups
cites work: On boundaries of Teichmüller spaces and on Kleinian groups. I
cites work: Q5611971
cites work: Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
cites work: Q4040246
cites work: Varieties of group representations and splittings of 3-manifolds
cites work: Combinatorics of Train Tracks. (AM-125)
cites work: Q3924842
cites work: Homotopy equivalences of 3-manifolds with boundaries
cites work: On Discrete Groups of Mobius Transformations
cites work: The Nielsen realization problem
cites work: Earthquakes are analytic
cites work: Q3733805
cites work: Valuations, trees, and degenerations of hyperbolic structures. I
cites work: Degenerations of hyperbolic structures. II: Measured laminations in 3- manifolds
cites work: Degenerations of hyperbolic structures. III: Actions of 3-manifold groups on trees and Thurston's compactness theorem
cites work: The geometry of finitely generated Kleinian groups
cites work: Q3326476
cites work: Hyperbolic structures on 3-manifolds. I: Deformation of acylindrical manifolds
Recommended article: Q3487709
Recommended article: Q3800342
Recommended article: Limit sets of Kleinian groups and conformally flat Riemannian manifolds
Recommended article: Quasiconformal stability of Kleinian groups and an embedding of a space of flat conformal structures
Recommended article: GEOMETRIC BEHAVIOUR OF KLEINIAN GROUPS ON BOUNDARIES FOR DEFORMATION SPACES
Recommended article: A theorem on the limit sets of quasiconformal deformations of infinitely generated Fuchsian groups of the first kind
Recommended article: Approximation on the limit continuum of a degenerate Kleinian group
Recommended article: Q3364125
Recommended article: Q4954670
Recommended article: Q3333304
description: scientific article; zbMATH DE number 4114969