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dc.contributor.authorRomán Roy, Narciso
dc.contributor.authorSalgado, Modesto
dc.contributor.authorVilariño, Silvia
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.description.abstractThis paper is devoted to studying symmetries of k-symplectic Hamiltonian and Lagrangian first-order classical field theories. In particular, we define symmetries and Cartan symmetries and study the problem of associating conservation laws to these symmetries, stating and proving Noether's theorem in different situations for the Hamiltonian and Lagrangian cases. We also characterize equivalent Lagrangians, which lead to an introduction of Lagrangian gauge symmetries, as well as analyzing their relation with Cartan symmetries.
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject.lcshSymplectic geometry
dc.subject.lcshBayesian field theory
dc.subject.otherConservation laws
dc.subject.otherNoether theorem
dc.subject.otherLagrangian and Hamiltonian field theories
dc.subject.otherk-symplectic manifolds
dc.titleSymmetries and conservation laws in the Gunther k-symplectic formalism of field theory
dc.subject.lemacVarietats simplèctiques
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.subject.amsClassificació AMS::70 Mechanics of particles and systems::70S Classical field theories
dc.subject.amsClassificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry
dc.rights.accessOpen Access

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Attribution-NonCommercial-NoDerivs 2.5 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 2.5 Spain