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arxiv: 0804.4785 · v1 · pith:AZNWX2MOnew · submitted 2008-04-30 · 🧮 math-ph · math.MP

Higher-order Cartan symmetries in k-symplectic field theory

classification 🧮 math-ph math.MP
keywords fieldk-symplecticnoethersymmetriesallowcartancertainconservation
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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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