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oai:recercat.cat:2117/19862025-07-17T03:09:23Zcom_2072_1033col_2072_452950

Higher-order Cartan symmetries in k-symplectic field theory Román Roy, Narciso Salgado, Modesto Vilariño, Silvia Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions Field theory (Physics) Differential geometry Symmetry (Mathematics) Conservation laws (Mathematics) Symmetries Conservation laws Noether theorem Hamiltonian field theories k-symplectic manifolds Simetria (Matemàtica) Lleis de conservació (Matemàtica) Camps, Teoria dels (Física) Geometria diferencial Classificació AMS::70 Mechanics of particles and systems::70S Classical field theories Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry 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. 2008-04-30 Article https://hdl.handle.net/2117/1986 eng GeCoAFT http://creativecommons.org/licenses/by-nc-nd/2.5/es/ Open Access Attribution-NonCommercial-NoDerivs 2.5 Spain 11 application/pdf