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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6450
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| Title: | Comparative Gromov hyperbolicity results for the hyperbolic and quasiyperbolic metrics |
| Author(s): | Hästö, Peter
Portilla, Ana
Rodríguez, José M.
Tourís, Eva |
| Publisher: | Taylor & Francis |
| Issued date: | Jan-2010 |
| Citation: | Complex Variables and Elliptic Equations, 2010, vol. 55, n. 1-3, p. 127-135 |
| URI: | http://hdl.handle.net/10016/6450 |
| ISSN: | 1747-6933 (Print)
1747-6941 (Online) |
| DOI: | 10.1080/17476930902999033 |
| Description: | 9 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23; 30C99.-- Dedicated to Professor Andreian Cazacu on the occasion of her 80th birthday. |
| Abstract: | In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric. The focus are on comparative or decomposition results, which allow us to reduce the question of whether a given domain is Gromov hyperbolic to a series of questions concerning simpler domains. We also give several concrete examples of applications of the results. |
| Sponsor: | P. Hästö was supported in part by the Academy of Finland and the Emil Aaltonen Foundation. A. Portilla, J.M. Rodríguez and E. Tourís were supported in part by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2007-30904-E) and a grant from U.C.III M./C.A.M. (CCG07-UC3M/ESP-3339), Spain. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1080/17476930902999033 |
| Keywords: | Poincaré metric
Hyperbolic metric
Quasihyperbolic metric
Gromov hyperbolic
Denjoy domain |
| Rights: | © Taylor & Francis |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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