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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6451
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| Title: | Gromov hyperbolicity of Riemann surfaces |
| Author(s): | Rodríguez, José M.
Tourís, Eva |
| Publisher: | Springer |
| Issued date: | Feb-2007 |
| Citation: | Acta Mathematica Sinica (Engl. Ser.), 2007, vol. 23, n. 2, p. 209-228 |
| URI: | http://hdl.handle.net/10016/6451 |
| ISSN: | 1439-8516 (Print)
1439-7617 (Online) |
| DOI: | 10.1007/s10114-005-0547-z |
| Description: | 20 pages, no figures.-- MSC2000 codes: 30F, 30F20, 30F45.
MR#: MR2286916 (2007k:30080)
Zbl#: Zbl 1115.30050 |
| Abstract: | In 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. |
| Sponsor: | The 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. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org710.1007/s10114-005-0547-z |
| Keywords: | Gromov hyperbolicity
Hyperbolic Riemann surface |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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