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New conserved quantities for the spaces of different curvatures. (English) Zbl 1189.70062

MSC:
70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
70H03 Lagrange’s equations
70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
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