Katsuhiko MATSUZAKI

Stability of Kleinian groups

Abstract

We survey stability of Kleinian groups. Especially, we announce the following two results in this note. Geometric finiteness and quasiconformal stability are equivalent for any finitely generated Kleinian group possibly with torsion. Any finitely generated Kleinian group is conditionally stable, which is the affirmative answer to a problem raised by Bers.

submission: July 7, 1997

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