Authors: | Jovanović, Božidar | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Nonholonomic left and right flows on Lie groups | Journal: | Journal of Physics A: Mathematical and General | Volume: | 32 | Issue: | 47 | First page: | 8293 | Last page: | 8302 | Issue Date: | 26-Nov-1999 | Rank: | M21 | ISSN: | 0305-4470 | DOI: | 10.1088/0305-4470/32/47/308 | Abstract: | Nonholonomic systems on Lie groups with a left-invariant Lagrangian and a right-invariant nonintegrable distribution are studied. A method for construction of the first integrals is given. It is applied to three-dimensional Lie groups and to the four-dimensional nonholonomic rigid body motion. New integrable problems with an invariant measure are obtained. |
Publisher: | IOP Science |
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