Please use this identifier to cite or link to this item: http://hdl.handle.net/10016/6445

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 Title: A characterization of Gromov hyperbolicity of surfaces with variable negative curvature Author(s): Portilla, AnaTourís, Eva Publisher: Universitat Autònoma de Barcelona, Departament de Matemàtiques Issued date: 2009 Citation: Publicacions Matemàtiques, 2009, vol. 53, n. 1, p. 83-110 URI: http://hdl.handle.net/10016/6445 ISSN: 0214-1493 Description: 18 pages, 4 figures.-- MSC2000 codes: 53C15, 53C21, 53C22, 53C23.MR#: MR2474116 (2009k:53091)Zbl#: Zbl 1153.53320 Abstract: In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature $K \leq -k < 0$, we just need to verify the Rips condition on a very small class of triangles, namely, those contained in simple closed geodesics. This result is, in fact, a new characterization of Gromov hyperbolicity for this kind of surfaces. Sponsor: Research partially supported by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2006-26627-E), and a grant from U.C.IIIM./C.A.M. (CCG07-UC3M/ESP-3339), Spain. Review: PeerReviewed Publisher version: http://www.mat.uab.es/pubmat/volums/navegador/volum_id:87# Keywords: Gromov hyperbolicityRiemannian surfaceNegatively curved Riemannian surface Rights: © Universitat Autònoma de Barcelona Appears in Collections: DM - GAMA - Artículos de Revistas