|
|||||
|
|
Examples of Integrable Sub-Riemannian Geodesic Flows |
|
| Authors: | B Kruglikov |
| Affiliation: | (1) Inst. of Math., University of Tromsoe, Tromsoe, 90-37, Norway |
| Abstract: | We exhibit examples of sub-Riemannian metrics with integrable geodesic flows and positive topological entropy. The underlying distribution is contact in 3 dimensions and is Goursat in the higher-dimensional case. We also give an example of Poisson
3-action on 6-dimensional manifold such that topological entropies for all nonzero vectors (Hamiltonians) are positive. |
| Keywords: | Sub-Riemannian structure nonholonomic geodesic flow topological entropy Liouville integrability
|
| 本文献已被 SpringerLink 等数据库收录！ | |