Time-dependent Lagrangians invariant by a vector field
M. C. Muñoz-Lecanda, N. Román-Roy, F. J. Yániz-Fernández
Abstract
We study the reduction of non-autonomous regular Lagrangian systems by symmetries, which are generated by vector fields associated with connections in the configuration bundle of the system Q×. These kind of symmetries generalize the idea of ``time-invariance'' (which corresponds to taking the trivial connection in the above trivial bundle).
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