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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6472
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| Title: | Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics |
| Author(s): | Hästö, Peter
Lindén, Henri
Portilla, Ana
Rodríguez, José M.
Tourís, Eva |
| Issued date: | May-2008 |
| Citation: | arXiv:0806.0097v1 |
| URI: | http://hdl.handle.net/10016/6472 |
| Description: | 15 pages, 2 figures.-- MSC2000 codes: 30F45, 53C23, 30C99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0097
Submitted |
| Abstract: | We derive explicit and simple conditions which in many cases allow one decide, whether or not a Denjoy domain endowed with the Poincare or quasihyperbolic metric is Gromov hyperbolic. The criteria are based on the Euclidean size of the complement. As a corollary, the main theorem allows to deduce the non-hyperbolicity of any periodic Denjoy domain. |
| Sponsor: | First author (P.H.) was supported in part by the Academy of Finland. Third (A.P.), fourth (J.M.R.) and fifth (E.T.) authors were supported in part by three grants from M.E.C. (MTM 2006-13000-C03-02, MTM 2006-11976 and MTM 2007-30904-E), Spain. Fourth and fifth authors were also supported in part by a grant from U.C.IIIM./C.A.M. (CCG07-UC3M/ESP-3339), Spain. |
| Review: | NonPeerReviewed |
| Keywords: | Poincaré metric
Hyperbolic metric
Quasihyperbolic metric
Gromov hyperbolic
Denjoy domain |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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