Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics

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dc.creatorHästö, Peter
dc.creatorLinden, Henri
dc.creatorPortilla, Ana
dc.creatorRodriguez, Jose M.
dc.creatorTouris, E.
dc.date2008-05-31
dc.date.accessioned2026-07-07T09:42:06Z
dc.date.available2026-07-07T09:42:06Z
dc.descriptionWe 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.
dc.description14 pages, 1 latex file, 1 eps figure
dc.identifierhttps://arxiv.org/abs/0806.0097
dc.identifierhttp://arxiv.org/abs/0806.0097
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162058
dc.subjectComplex Variables
dc.subjectMetric Geometry
dc.subject30F45; 53C23, 30C99
dc.titleGromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics
dc.typetext

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