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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6468
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| Title: | Gromov hyperbolicity through decomposition of metric spaces |
| Author(s): | Rodríguez, José M.
Tourís, Eva |
| Publisher: | Springer |
| Issued date: | Apr-2004 |
| Citation: | Acta Mathematica Hungarica, 2004, vol. 103, n. 1-2, p. 107-138 |
| URI: | http://hdl.handle.net/10016/6468 |
| ISSN: | 0236-5294 (Print)
1588-2632 (Online) |
| DOI: | 10.1023/B:AMHU.0000028240.16521.9d |
| Description: | 32 pages, no figures.-- MSC2000 codes: 30F20, 30F45.-- A complementary work to this paper was published in: The Journal of Geometric Analysis 14(1): 123-149 (2004), http://hdl.handle.net/10016/6464
MR#: MR2047877 (2005a:30076)
Zbl#: Zbl 1051.30036 |
| Abstract: | We study the hyperbolicity of metric spaces in the Gromov sense. We deduce the hyperbolicity of a space from the hyperbolicity of its “building block components”. These results are valuable since they simplify notably the topology of the space and allow to obtain global results from local information. We also study how the punctures and the decomposition of a Riemann surface in Y-pieces and funnels affect the hyperbolicity of the surface. |
| Sponsor: | First author partially supported by a grant from DGI (BMF 2000-0022) Spain. Second author supported by a grant from DGI (BMF 2000-0022) Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1023/B:AMHU.0000028240.16521.9d |
| Keywords: | Gromov hyperbolicity
Decomposition
Hyperbolic Riemann surfaces |
| Rights: | © Springer |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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