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Equivalence problems for first order Lagrangians on the line. (English) Zbl 0677.49034

Summary: Complete solutions to and applications of the equivalence problems for first order particle Lagrangians under the pseudo-groups of contact, point, and fiber-preserving transformations, both with and without the addition of divergence terms, are presented.

MSC:

49Q99 Manifolds and measure-geometric topics
58A15 Exterior differential systems (Cartan theory)
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