| Authors: | Jovanović, Božidar | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem on SO(4) | Journal: | Journal of Physics A: Mathematical and General | Volume: | 31 | Issue: | 5 | First page: | 1415 | Last page: | 1422 | Issue Date: | 6-Feb-1998 | Rank: | M21 | ISSN: | 0305-4470 | DOI: | 10.1088/0305-4470/31/5/011 | Abstract: | We study geodesic flows on Lie groups with the left-invariant non-holonomic constraint. In the case of the existence of an invariant measure, we find new integrable non-Hamiltonian systems on SO(4) and other six-dimensional Lie groups. |
Publisher: | IOP Science |
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