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

Hiroyasu Izeki

doi:10.1090/S1088-4173-00-00062-X

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 language	English
Pages (from-to)	108-119
Number of pages	12
Journal	Conformal Geometry and Dynamics
Volume	4
Issue number	6
DOIs	https://doi.org/10.1090/S1088-4173-00-00062-X
Publication status	Published - 2000 Dec 13
Externally published	Yes

Keywords

Conformally at
Quasiconformal stability

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1090/S1088-4173-00-00062-X

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Izeki, H. (2000). Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures. Conformal Geometry and Dynamics, 4(6), 108-119. https://doi.org/10.1090/S1088-4173-00-00062-X

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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.",

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