Higher-order Cartan symmetries in k-symplectic field theory

Abstract

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.

11 pages

References in corpus (2)

• On the k-Symplectic, k-Cosymplectic and Multisymplectic Formalisms of Classical Field Theories
• Symmetries and conservation laws in the Gunther k-symplectic formalism of field theory