Time-dependent Lagrangians invariant by a vector field
arXiv:math-ph/0102010 · doi:10.1023/A:1017963123948
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 . 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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