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


37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
37C80 Symmetries, equivariant dynamical systems (MSC2010)
70H03 Lagrange’s equations
Full Text: DOI


[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)
[5] Crampin, Phys. Lett. 108A pp 191– (1985)
[6] DOI: 10.1088/0305-4470/16/16/014 · Zbl 0536.58004
[7] DOI: 10.1088/0305-4470/17/7/011 · Zbl 0545.58020
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.