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arXiv · math-ph/0102010

Time-dependent Lagrangians invariant by a vector field

M. C. Muñoz-Lecanda·N. Román-Roy·F. J. Yániz-Fernández
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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 $Q\times\real\to\real$. 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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M. C. Muñoz-Lecanda, N. Román-Roy, F. J. Yániz-Fernández. 2001-10-04. Time-dependent Lagrangians invariant by a vector field. https://doi.org/10.1023/a%3A1017963123948

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