A new characterization of Gromov hyperbolicity for negatively curved surfaces

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dc.contributor.author Rodríguez, José M.
dc.contributor.author Tourís, Eva
dc.date.accessioned 2010-01-15T12:02:13Z
dc.date.available 2010-01-15T12:02:13Z
dc.date.issued 2006
dc.identifier.bibliographicCitation Publicacions Matemàtiques, 2006, vol. 50, n. 2, p. 249-278
dc.identifier.issn 0214-1493
dc.identifier.uri http://hdl.handle.net/10016/6447
dc.description 23 pages, no figures.-- MSC2000 codes: 53C23, 30F20, 30F45.
dc.description MR#: MR2273661 (2007j:53046)
dc.description Zbl#: Zbl 1111.53033
dc.description.abstract In this paper we show that to check Gromov hyperbolicity of any surface of constant negative curvature, or, Riemann surface, we only need to verify the Rips condition on a very small class of triangles, namely, those obtained by marking three points in a simple closed geodesic. This result is, in fact, a new characterization of Gromov hyperbolicity for Riemann surfaces.
dc.description.sponsorship Research by both authors partially supported by a grant from DGI (BFM 2003-04870), Spain. Research by Eva Tourís also partially supported by a grant from DGI (BFM 2000-0022), Spain.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Universitat Autònoma de Barcelona, Departament de Matemàtiques
dc.rights © Universitat Autònoma de Barcelona
dc.subject.other Closed geodesic
dc.subject.other Gromov hyperbolicity
dc.subject.other Riemann surface
dc.title A new characterization of Gromov hyperbolicity for negatively curved surfaces
dc.type article
dc.type.review PeerReviewed
dc.description.status Publicado
dc.relation.publisherversion http://www.mat.uab.es/pubmat/volums/navegador
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
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