A real variable characterization of Gromov hyperbolicity of flute surfaces

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dc.creatorPortilla, Ana
dc.creatorRodriguez, Jose M.
dc.creatorTouris, Eva
dc.date2008-05-31
dc.date.accessioned2026-07-07T09:42:05Z
dc.date.available2026-07-07T09:42:05Z
dc.descriptionIn this paper we give a characterization of the Gromov hyperbolicity of trains (a large class of Denjoy domains which contains the flute surfaces) in terms of the behavior of a real function. This function describes somehow the distances between some remarkable geodesics in the train. This theorem has several consequences; in particular, it allows to deduce a result about stability of hyperbolicity, even though the original surface and the modified one are not quasi-isometric.
dc.description23 pages, 1 latex file, 2 eps figures
dc.identifierhttps://arxiv.org/abs/0806.0093
dc.identifierhttp://arxiv.org/abs/0806.0093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162057
dc.subjectComplex Variables
dc.subjectMetric Geometry
dc.subject41A10, 46E35, 46G10
dc.titleA real variable characterization of Gromov hyperbolicity of flute surfaces
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