A characterization of hyperbolic spaces
| dc.creator | Chatterji, Indira | |
| dc.creator | Niblo, Graham A. | |
| dc.date | 2004-10-02 | |
| dc.date | 2006-05-19 | |
| dc.date.accessioned | 2026-07-07T08:11:25Z | |
| dc.date.available | 2026-07-07T08:11:25Z | |
| dc.description | We show that a geodesic metric space is hyperbolic in the sense of Gromov if and only if intersections of balls have bounded eccentricity. In particular, $\R$-trees are characterized among geodesic metric spaces by the property that the intersection of any two balls is always a ball. Both Gromov hyperbolicity and CAT($κ$) geometry can be characterised in terms of the geometry of the intersection of balls. | |
| dc.identifier | https://arxiv.org/abs/math/0410035 | |
| dc.identifier | http://arxiv.org/abs/math/0410035 | |
| dc.identifier | Groups, Geometry and Dynamics, Volume 1, Issue 3 (2007) pp 281-299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132115 | |
| dc.subject | Group Theory | |
| dc.subject | 20F67; 20F65; 20E08 | |
| dc.title | A characterization of hyperbolic spaces | |
| dc.type | text |