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A geometric approach to constrained mechanical systems, symmetries and inverse problems. (English) Zbl 0940.70008

MSC:
70F25 Nonholonomic systems related to the dynamics of a system of particles
70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
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