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 › peer-review

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

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10.1090/S1088-4173-00-00062-X

Cite this

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title = "Quasiconformal stability of kleinian groups and an embedding of a space of flat conformal structures",

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.",

keywords = "Conformally at, Quasiconformal stability",

author = "Hiroyasu Izeki",

year = "2000",

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doi = "10.1090/S1088-4173-00-00062-X",

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AU - Izeki, Hiroyasu

PY - 2000/12/13

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N2 - 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.

AB - 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.

KW - Conformally at

KW - Quasiconformal stability

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DO - 10.1090/S1088-4173-00-00062-X

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JO - Conformal Geometry and Dynamics

JF - Conformal Geometry and Dynamics

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

Abstract

Keywords

ASJC Scopus subject areas

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