Integrability versus topology of configuration manifolds and domains of possible motions
| dc.creator | Rudnev, M. | |
| dc.creator | Ten, V. | |
| dc.date | 2005-01-24 | |
| dc.date.accessioned | 2026-07-07T05:16:20Z | |
| dc.date.available | 2026-07-07T05:16:20Z | |
| dc.description | We establish a generic sufficient condition for a compact $n$-dimensional manifold bearing an integrable geodesic flow to be the $n$-torus. As a complementary result, we show that in the case of domains of possible motions with boundary, the first Betti number of the domain of possible motions may be arbitrarily large. | |
| dc.identifier | https://arxiv.org/abs/math/0501413 | |
| dc.identifier | http://arxiv.org/abs/math/0501413 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73950 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37J30, 37J35 | |
| dc.title | Integrability versus topology of configuration manifolds and domains of possible motions | |
| dc.type | text |