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On the Stable Basin Theorem |
Canad. Math. Bull. 47(2004), 439-444
E-Published:
2004-09-01
Printed: Sep 2004
Printed: Sep 2004
- John R. Parker
Abstract
The stable basin theorem was introduced by Basmajian and Miner as a
key step in their necessary condition for the discreteness of a
non-elementary group of complex hyperbolic isometries. In this
paper we improve several of Basmajian and Miner's key estimates and
so give a substantial improvement on the main inequality in the
stable basin theorem.
| MSC Classifications: |
22E40 - Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx] 20H10 - Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx] 57S30 - Discontinuous groups of transformations |