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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, Ana
Tourís, 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 hyperbolicity
Riemannian surface
Negatively curved Riemannian surface |
| Rights: | © Universitat Autònoma de Barcelona |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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