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On the Stable Basin Theorem

  Published:2004-09-01
 Printed: Sep 2004
  • John R. Parker
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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, 20H10, 57S30 show english descriptions Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Fuchsian groups and their generalizations [See also 11F06, 22E40, 30F35, 32Nxx]
Discontinuous groups of transformations
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
 

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