A new approach to the converse of Noether's theorem
- 21 November 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (22) , 4777-4786
- https://doi.org/10.1088/0305-4470/22/22/009
Abstract
The concepts of vector fields and forms along a map are used to establish a condition characterising symmetries of the Hamiltonian system associated with a regular Lagrangian. This condition does not mention any second-order differential equation field but is expressed in terms of the geometry of the second-order tangent bundle. This result is also generalised to the case of Lagrangian functions depending on higher-order derivatives.Keywords
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