DOI:
10.1088/1742-6596/538/1/012009
IAA authors:
Guerrero, J.;Aldaya, V.;Cossío, F.
Authors:
Guerrero J., Aldaya V., Cossío F., López-Ruiz F.F.
Journal:
Journal of Physics: Conference Series
Abstract:
The symmetries of the equations of motion of a classical system are characterized in terms of vector field subalgebras of the whole diffeomorphism algebra of the solution manifold (the space of initial constants endowed with a symplectic structure). Among them, naturally arises the subalgebra of Hamiltonian (contact) vector fields corresponding to (jet-prolongued) point symmetries, those not corresponding to point symmetries and the remaining symmetries being associated with non-Hamiltonian (hence non-symplectic) non-strict contact symmetries. © Published under licence by IOP Publishing Ltd.
URL:
https://ui.adsabs.harvard.edu/#abs/2014JPhCS.538a2009G/abstract