Conformal Geometry and Dynamics

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

Author(s): Hiroyasu Izeki
Journal: Conform. Geom. Dyn. 4 (2000), 108-119.
MSC (2000): Primary 58H15; Secondary 53A30
Posted: December 13, 2000
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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 flat conformal structures on a certain class of compact manifolds.

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Retrieve articles in Conformal Geometry and Dynamics with MSC (2000): 58H15, 53A30

Hiroyasu Izeki
Affiliation: Mathematical Institute, Tohoku University, Sendai 980-8578, Japan
Email: izeki@math.tohoku.ac.jp

DOI: 10.1090/S1088-4173-00-00062-X
PII: S 1088-4173(00)00062-X
Keywords: Conformally flat, quasiconformal stability
Received by editor(s): April 7, 2000
Posted: December 13, 2000
Copyright of article: Copyright 2000, American Mathematical Society

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