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http://hdl.handle.net/10016/6447
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| Title: | A new characterization of Gromov hyperbolicity for negatively curved surfaces |
| Author(s): | Rodríguez, José M.
Tourís, Eva |
| Publisher: | Universitat Autònoma de Barcelona, Departament de Matemàtiques |
| Issued date: | 2006 |
| Citation: | Publicacions Matemàtiques, 2006, vol. 50, n. 2, p. 249-278 |
| URI: | http://hdl.handle.net/10016/6447 |
| ISSN: | 0214-1493 |
| Description: | 23 pages, no figures.-- MSC2000 codes: 53C23, 30F20, 30F45.
MR#: MR2273661 (2007j:53046)
Zbl#: Zbl 1111.53033 |
| 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. |
| Sponsor: | 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. |
| Review: | PeerReviewed |
| Publisher version: | http://www.mat.uab.es/pubmat/volums/navegador |
| Keywords: | Closed geodesic
Gromov hyperbolicity
Riemann surface |
| Rights: | © Universitat Autònoma de Barcelona |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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