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

Izeki, Hiroyasu

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

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

Conform. Geom. Dyn. 4 (2000), 108-119

DOI: https://doi.org/10.1090/S1088-4173-00-00062-X

Published electronically: December 13, 2000

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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 flat conformal structures on a certain class of compact manifolds.

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