Higher-order Cartan symmetries in k-symplectic field theory

For k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means of a suitable generalization of the Noether theorem.

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Field theory (Physics), Geometria diferencial, 70S05, 70S10, 53D05, Camps, Classificació AMS::53 Differential geometry::53D Symplectic geometry, FOS: Physical sciences, Conservation laws (Mathematics), Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry, Noether theorem, contact geometry, Symmetry (Mathematics), k-symplectic manifolds, Lleis de conservació (Matemàtica), :70 Mechanics of particles and systems::70S Classical field theories [Classificació AMS], Differential geometry, Hamiltonian field theories, Camps, Teoria dels (Física), Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories, Mathematical Physics, Conservation laws, Mathematical Physics (math-ph), :53 Differential geometry::53D Symplectic geometry, contact geometry [Classificació AMS], Teoria dels (Física), Simetria (Matemàtica), Symmetries

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