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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6440
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| Title: | Stability of Gromov hyperbolicity |
| Author(s): | Portilla, Ana
Rodríguez, José M.
Tourís, Eva |
| Publisher: | Fair Partners Team for the Promotion of Science |
| Issued date: | 2009 |
| Citation: | Journal of Advanced Mathematical Studies, 2009, vol. 2, n. 2, p. 77-96 |
| URI: | http://hdl.handle.net/10016/6440 |
| ISSN: | 2065-3506 (Print)
2065-5851 (Online) |
| Description: | 20 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23, 30C99.
Zbl#: Zbl pre05652685 |
| Abstract: | A main problem when studying any mathematical property is to determine its stability, i.e., under what type of perturbations it is preserved. With this aim, here we study the stability of Gromov hyperbolicity, a property which has been proved to be fruitful in many fields. First of all we analyze the stability under appropriate limits, in the context of general metric spaces. We also prove the stability under some transformations in Riemann surfaces, even though the original surface and the modified one are not quasi-isometric. |
| Sponsor: | The researches of Ana Portilla, José M. Rodríguez and Eva Tourís were partially supported by three grants from M.E.C. (MTM 2006-11976, MTM 2006-13000-C03-02 and MTM 2007-30904-E), Spain. The research of Eva Tourís was partially supported by a grant from U.C.III M./C.A.M. (CCG08-UC3M/ESP-4516), Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://journal.fairpartners.ro/volume2no2/11_Portilla.pdf |
| Keywords: | Stability of Gromov hyperbolicity
Poincaré metric
Quasihyperbolic metric
Denjoy domain
Flute surface
Riemann surface of infinite type
Train |
| Rights: | © Fair Partners Team for the Promotion of Science |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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