On the Stable Basin Theorem

• Autores: John R. Parker
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 47, Nº 3, 2004, págs. 439-444
• Idioma: inglés
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• Resumen

  • 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.