On-shell symmetries

Details On-shell symmetries On-shell symmetries

2003-10-20

arxiv.org/abs/math-ph/0310037v1

Int.J.Geom.Meth.Mod.Phys. 1 (2004) 83-96

Physics

Mathematical Physics

13 pages

Scientific paper

We define on-shell symmetries and characterize them for Lagrangian systems. The terms appearing in the variation of the Poincare'-Cartan form, which vanish because of field equations, are found to be strongly constrained if the space of solutions has to be preserved. The behaviour with respect to solution dragging is also investigated in order to discuss relations with the theory of internal symmetries of a PDE.

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