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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

Publication date

2008-04-30

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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.

Document Type

Article

Language

English

Subjects and keywords

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

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Rights

http://creativecommons.org/licenses/by-nc-nd/2.5/es/

Open Access

Attribution-NonCommercial-NoDerivs 2.5 Spain

This item appears in the following Collection(s)

E-prints [73026]