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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/6469
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| Title: | A real variable characterization of Gromov hyperbolicity of flute surfaces |
| Author(s): | Portilla, Ana
Rodríguez, José M.
Tourís, Eva |
| Issued date: | May-2008 |
| Citation: | arXiv:0806.0093v1 |
| URI: | http://hdl.handle.net/10016/6469 |
| Description: | 23 pages, 1 figure.-- MSC2000 codes: 41A10, 46E35, 46G10.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0093
Previously presented as Communication at International Congress of Mathematicians 2006 (ICM2006, Madrid, Spain, Aug 22-30, 2006).
Preaccepted for publication at: Osaka Journal of Mathematics |
| Abstract: | In this paper we give a characterization of the Gromov hyperbolicity of trains (a large class of Denjoy domains which contains the flute surfaces) in terms of the behavior of a real function. This function describes somehow the distances between some remarkable geodesics in the train. This theorem has several consequences; in particular, it allows to deduce a result about stability of hyperbolicity, even though the original surface and the modified one are not quasi-isometric. |
| Sponsor: | Research partially supported by three grants from M.E.C. (MTM 2006-11976, MTM 2006-13000-C03-02 and MTM 2007-30904-E), Spain. |
| Review: | NonPeerReviewed |
| Keywords: | Denjoy domain
Flute surface
Gromov hyperbolicity
Riemann surface of infinite type
Train |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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