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Paper detail

On-shell symmetries

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.

preprint2003arXivOpen access
L. FatibeneM. FerrarisM. Francaviglia
math-phmath.MPhep-th
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L. FatibeneM. FerrarisM. Francaviglia

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