On a class of polynomial Lagrangians
Palese, Marcella, Vitolo, Raffaele
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Displaying similar documents to “Some results on the calculus of variations on jet spaces”
On a class of polynomial Lagrangians
Differential pseudoconnections and field theories
Marco Modugno, Rodolfo Ragionieri, Gianna Stefani (1981)
Annales de l'I.H.P. Physique théorique
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Variational calculus in several variables : a hamiltonian approach
A. Echeverría Enríquez, M. C. Muñoz Lecanda (1992)
Annales de l'I.H.P. Physique théorique
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Symmetries in finite order variational sequences
Mauro Francaviglia, Marcella Palese, Raffaele Vitolo (2002)
Czechoslovak Mathematical Journal
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We refer to Krupka’s variational sequence, i.e. the quotient of the de Rham sequence on a finite order jet space with respect to a ‘variationally trivial’ subsequence. Among the morphisms of the variational sequence there are the Euler-Lagrange operator and the Helmholtz operator. In this note we show that the Lie derivative operator passes to the quotient in the variational sequence. Then we define the variational Lie derivative as an operator on the sheaves of the variational sequence....