| Автор | Bozidar Jovanovic |
| Дата выпуска | 2001-11-01 |
| dc.description | We consider non-holonomic geodesic flows of left-invariant metrics and left-invariant non-integrable distributions on compact connected Lie groups. The equations of geodesic flows are reduced to the Euler-Poincaré-Suslov equations on the corresponding Lie algebras. The Poisson and symplectic structures give rise to various algebraic constructions of the integrable Hamiltonian systems. On the other hand, non-holonomic systems are not Hamiltonian and the integration methods for non-holonomic systems are much less developed. In this paper, using chains of subalgebras, we give constructions that lead to a large set of first integrals and to integrable cases of the Euler-Poincaré-Suslov equations. Furthermore, we give examples of non-holonomic geodesic flows that can be seen as a restriction of integrable sub-Riemannian geodesic flows. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Geometry and integrability of Euler-Poincaré-Suslov equations |
| Тип | paper |
| DOI | 10.1088/0951-7715/14/6/308 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 14 |
| Первая страница | 1555 |
| Последняя страница | 1567 |
| Аффилиация | Bozidar Jovanovic; Mathematisches Institut, LMU, Theresienstraße 39, D-80333 München, Germany |
| Выпуск | 6 |
