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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6463
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| Title: | The topology of balls and Gromov hyperbolicity of Riemann surfaces |
| Author(s): | Portilla, Ana
Rodríguez, José M.
Tourís, Eva |
| Publisher: | Elsevier |
| Issued date: | Nov-2004 |
| Citation: | Differential Geometry and its Applications, 2004, vol. 21, n. 3, p. 317-335 |
| URI: | http://hdl.handle.net/10016/6463 |
| ISSN: | 0926-2245 |
| DOI: | 10.1016/j.difgeo.2004.05.006 |
| Description: | 19 pages, no figures.-- MSC2000 codes: 30F20, 30F45, 53C23.
MR#: MR2091367 (2005e:53057)
Zbl#: Zbl 1070.30019 |
| Abstract: | We prove that every ball in any non-exceptional Riemann surface with radius less or equal than $\frac 1 2\log 3$ is either simply or doubly connected. We use this theorem in order to study the hyperbolicity in the Gromov sense of Riemann surfaces. The results clarify the role of punctures and funnels of a Riemann surface in its hyperbolicity. |
| Sponsor: | Research by first two authors (A.P. and J.M.R.) was partially supported by a grant from DGI (BFM 2000-0022), Spain. Research by third author (E.T.)was supported by a grant from DGI (BFM 2000-0022), Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.difgeo.2004.05.006 |
| Keywords: | Gromov hyperbolicity
Riemann surface
Funnel
Puncture |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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