Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics

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We obtain explicit and simple conditions which in many cases allow one decide, whether or not a Denjoy domain endowed with the Poincare or quasihyperbolic metric is Gromov hyperbolic. The criteria are based on the Euclidean size of the complement. As a corollary, the main theorem allows to deduce the non-hyperbolicity of any periodic Denjoy domain.
14 pages, 1 latex file, 1 eps figure

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Complex Variables, Metric Geometry, 30F45; 53C23, 30C99

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http://salesiana.dossiersoluciones.com/handle/123456789/162058

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.0097
 http://arxiv.org/abs/0806.0097

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arXiv