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We extend some results and concepts of single-time covariant Hamiltonian field theory to the new context of multitime covariant Hamiltonian theory. In this sense, we point out the role of the polysymplectic structure δ⊗J, we prove that the dual action is indefinite, we find the eigenvalues and the eigenfunctions of the operator (δ⊗J)(∂/∂t) with periodic… (More)
The aim of this article is to consider crystallographic groups acting as gauge groups and associate this actions with some variational problems. The natural action on the euclidian spaces of such groups has been extended to some Sobolev spaces of functions and on such spaces are considered actions associated to Lagrangians with potential which is invariant… (More)