Time-dependent Lagrangians invariant by a vector field

Details Time-dependent Lagrangians invariant by a vector field Time-dependent Lagrangians invariant by a vector field

2001-02-09

arxiv.org/abs/math-ph/0102010v2

Lett.Math.Phys. 57 (2001) 107-121

Physics

Mathematical Physics

12 pages, LaTeX. Replaced with the published version. Minor changes. The bibliography is updated

Scientific paper

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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