Higher-order Cartan symmetries in k-symplectic field theory

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Title:	Higher-order Cartan symmetries in k-symplectic field theory
Author:	Román Roy, Narciso; Salgado, Modesto; Vilariño, Silvia
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
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.
Subject(s):	-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
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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