Gromov hyperbolicity of Denjoy domains

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dc.contributor.author Álvarez, Venancio
dc.contributor.author Portilla, Ana
dc.contributor.author Rodríguez, José M.
dc.contributor.author Tourís, Eva
dc.date.accessioned 2010-01-15T11:03:07Z
dc.date.available 2010-01-15T11:03:07Z
dc.date.issued 2006-08
dc.identifier.bibliographicCitation Geometriae Dedicata, 2006, vol. 121, n. 1, p. 221-245
dc.identifier.issn 0046-5755 (Print)
dc.identifier.issn 1572-9168 (Online)
dc.identifier.uri http://hdl.handle.net/10016/6441
dc.description 25 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.
dc.description MR#: MR2276245 (2007i:30069)
dc.description Zbl#: Zbl 1115.53030
dc.description.abstract In this paper we characterize the Gromov hyperbolicity of the double of a metric space. This result allows to give a characterization of the hyperbolic Denjoy domains, in terms of the distance to $\Bbb{R}$ of the points in some geodesics. In the particular case of trains (a kind of Riemann surfaces which includes the flute surfaces), we obtain more explicit criteria which depend just on the lengths of what we have called fundamental geodesics.
dc.description.sponsorship Research partially supported by three grants from M.E.C. (MTM 2006-11976, MTM 2006-13000-C03-02 and MTM 2004-21420-E), Spain.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Springer
dc.rights © Springer
dc.subject.other Denjoy domain
dc.subject.other Flute surface
dc.subject.other Gromov hyperbolicity
dc.subject.other Riemann surface
dc.subject.other Schottky double
dc.subject.other Train
dc.title Gromov hyperbolicity of Denjoy domains
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1007/s10711-006-9102-z
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1007/s10711-006-9102-z
dc.rights.accessRights openAccess
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