Transactions of the American Mathematical Society 350(10) 3989-4022 1998年 [査読有り]
Minsky proved that two Kleinian groups G1 and G2 are quasiconformally conjugate if they are freely indecomposable, the injectivity radii at all points of H3/G1, H3/G2 are bounded below by a positive constant, and there is a homeomorphism h from a ...
Annales Scientifiques de l'Ecole Normale Superieure 31(3) 329-343 1998年 [査読有り]
We give sufficient conditions for a geometrically finite Kleinian group G acting in the hyperbolic space Hn to have co-Hopf property, i.e., not to contain non-trivial proper subgroups isomorphic to itself. We provide examples of freely indecomposa...
Proceedings of the American Mathematical Society 124(3) 739-743 1996年 [査読有り]
Two Kleinian groups Γ1 and Γ2 are said to be topologically conjugate when there is a homeomorphism / : S2 → S2 such that fΓ1f-1 = Γ2. It is conjectured that if two Kleinian groups Γ1 and Γ2 are topologically conjugate, one is a quasi-conformal def...