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A complete classification of dynamical symmetries in classical mechanics. (English) Zbl 0578.58018

From the author’s summary: ”This paper deals with the interaction between the invariance group of a second order differential equation and its variational formulation. Equivalent Lagrangians from all such group actions are constructed.”
Reviewer: G.Warnecke

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
37C80 Symmetries, equivariant dynamical systems (MSC2010)
70H03 Lagrange’s equations
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[1] DOI: 10.1088/0305-4470/16/7/006
[2] DOI: 10.1007/BF00760099 · Zbl 0556.53044
[3] Prince, Bull. Austral. Math. Soc. 27 pp 53– (1983)
[4] Crampin, Phys. Lett. 95A pp 209– (1983)
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[6] DOI: 10.1088/0305-4470/16/16/014 · Zbl 0536.58004
[7] DOI: 10.1088/0305-4470/17/7/011 · Zbl 0545.58020
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