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Non-holonomic geodesic flows on Lie groups and the integrable Suslov problem on $$\text{SO}(4)$$. (English) Zbl 0945.70014

##### MSC:
 70H06 Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics 70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics 70F25 Nonholonomic systems related to the dynamics of a system of particles
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