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Gromov hyperbolicity of Riemann surfaces

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorRodríguez, José M.
dc.contributor.authorTourís, Eva
dc.date.accessioned2010-01-15T13:23:15Z
dc.date.available2010-01-15T13:23:15Z
dc.date.issued2007-02
dc.description20 pages, no figures.-- MSC2000 codes: 30F, 30F20, 30F45.
dc.descriptionMR#: MR2286916 (2007k:30080)
dc.descriptionZbl#: Zbl 1115.30050
dc.description.abstractIn this paper we study the hyperbolicity in the Gromov sense of Riemann surfaces. We deduce the hyperbolicity of a surface from the hyperbolicity of its "building block components". We also prove the equivalence between the hyperbolicity of a Riemann surface and the hyperbolicity of some graph associated with it. These results clarify how the decomposition of a Riemann surface into Y-pieces and funnels affects the hyperbolicity of the surface. The results simplify the topology of the surface and allow us to obtain global results from local information.
dc.description.sponsorshipThe first author’s research is partially supported by a grant from DGI (BFM 2003-04870), Spain. The second author’s research is partially supported by a grant from DGI (BFM 2000-0022), Spain.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationActa Mathematica Sinica (Engl. Ser.), 2007, vol. 23, n. 2, p. 209-228
dc.identifier.doi10.1007/s10114-005-0547-z
dc.identifier.issn1439-8516 (Print)
dc.identifier.issn1439-7617 (Online)
dc.identifier.urihttps://hdl.handle.net/10016/6451
dc.language.isoeng
dc.publisherSpringer
dc.relation.publisherversionhttp://dx.doi.org710.1007/s10114-005-0547-z
dc.rights© Springer
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.otherGromov hyperbolicity
dc.subject.otherHyperbolic Riemann surface
dc.titleGromov hyperbolicity of Riemann surfaces
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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