Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures

Hiroyasu Izeki

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

We show the quasiconformal stability for torsion-free convex cocompact Kleinian groups acting on higher dimensional hyperbolic spaces. As an application, we prove an embedding theorem of a space of at conformal structures on a certain class of compact manifolds.

Original languageEnglish
Pages (from-to)108-119
Number of pages12
JournalConformal Geometry and Dynamics
Volume4
Issue number6
DOIs
Publication statusPublished - 2000 Dec 13
Externally publishedYes

Fingerprint

Conformal Structure
Kleinian Groups
Quasiconformal
Embedding Theorem
Hyperbolic Space
Torsion-free
Compact Manifold
High-dimensional
Class

Keywords

  • Conformally at
  • Quasiconformal stability

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures. / Izeki, Hiroyasu.

In: Conformal Geometry and Dynamics, Vol. 4, No. 6, 13.12.2000, p. 108-119.

Research output: Contribution to journal › Article

Izeki, H 2000, 'Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures', Conformal Geometry and Dynamics, vol. 4, no. 6, pp. 108-119. https://doi.org/10.1090/S1088-4173-00-00062-X
Izeki H. Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures. Conformal Geometry and Dynamics. 2000 Dec 13;4(6):108-119. https://doi.org/10.1090/S1088-4173-00-00062-X
Izeki, Hiroyasu. / Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures. In: Conformal Geometry and Dynamics. 2000 ; Vol. 4, No. 6. pp. 108-119.
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