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Balogh, Zoltán M. and Buckley, Stephen M. (2003) Geometric characterizations of Gromov hyperbolicity. Inventiones Mathematicae, 153 (2). pp. 261-301. ISSN 1432-1297
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Abstract
We prove the equivalence of three different geometric properties of metric-measure spaces with controlled geometry. The first property is the Gromov hyperbolicity of the quasihyperbolic metric. The second is a slice condition and the third is a combination of the Gehring-Hayman property and a separation condition.
| Item Type: | Article |
|---|---|
| Keywords: | Gromov hyperbolicity; Euclidean domains; Slices; Gehring-Hayman property; Separation condition. |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 1599 |
| Identification Number: | 10.1007/s00222-003-0287-6 |
| Depositing User: | Prof. Stephen Buckley |
| Date Deposited: | 20 Oct 2009 10:59 |
| Journal or Publication Title: | Inventiones Mathematicae |
| Publisher: | Springer Berlin / Heidelberg |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/1599 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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