Curvature of sub-Riemannian spaces
| dc.creator | Buliga, Marius | |
| dc.date | 2003-11-26 | |
| dc.date.accessioned | 2026-07-07T05:03:18Z | |
| dc.date.available | 2026-07-07T05:03:18Z | |
| dc.description | To any metric spaces there is an associated metric profile. The rectifiability of the metric profile gives a good notion of curvature of a sub-Riemannian space. We shall say that a curvature class is the rectifiability class of the metric profile. We classify then the curvatures by looking to homogeneous metric spaces. The classification problem is solved for contact 3 manifolds, where we rediscover a 3 dimensional family of homogeneous contact manifolds, with a distinguished 2 dimensional family of contact manifolds which don't have a natural group structure. | |
| dc.identifier | https://arxiv.org/abs/math/0311482 | |
| dc.identifier | http://arxiv.org/abs/math/0311482 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69364 | |
| dc.subject | Metric Geometry | |
| dc.subject | 53C17 ; 53D10 | |
| dc.title | Curvature of sub-Riemannian spaces | |
| dc.type | text |