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On the geometric approach to the motion of inertial mechanical systems. (English) Zbl 1039.37068

MSC:
37K65 Hamiltonian systems on groups of diffeomorphisms and on manifolds of mappings and metrics
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
58D05 Groups of diffeomorphisms and homeomorphisms as manifolds
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