Integrable geodesic flows of non-holonomic metrics
| dc.creator | Taimanov, I. A. | |
| dc.date | 1996-10-23 | |
| dc.date.accessioned | 2026-07-07T09:12:53Z | |
| dc.date.available | 2026-07-07T09:12:53Z | |
| dc.description | Normal geodesic flows flows of Carnot-Caratheodory are discussed from the point of view of the theory of Hamiltonian systems. The geodesic flows corresponding to left-invariant metrics and left- and -right-invariant rank 2 distributions on the three-dimensional Heisenberg group are analysed as integrable systems. The flows corresponding to left-invariant metrics and left-invariant distributions on Lie groups are reduced to Euler equations on Lie groups. Relation of these constructions to problems of analytical mechanics is discussed. | |
| dc.description | 15 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9610012 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9610012 | |
| dc.identifier | J. Dynam. Control Systems 3 (1997), 129--147. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152173 | |
| dc.subject | Differential Geometry | |
| dc.title | Integrable geodesic flows of non-holonomic metrics | |
| dc.type | text |