Artículo
Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
Fecha de publicación:
10/2022
Editorial:
IOP Publishing
Revista:
Journal of Physics A: Mathematical and Theoretical
ISSN:
1751-8113
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We discuss Lagrangian and Hamiltonian field theories that are invariant under a symmetry group. We apply the polysymplectic reduction theorem for both types of field equations and we investigate aspects of the corresponding reconstruction process. We identify the polysymplectic structures that lie at the basis of cotangent bundle reduction and Routh reduction in this setting and we relate them by means of the Routhian function and its associated Legendre transformation. Throughout the paper we provide examples that illustrate various aspects of the results.
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Colecciones
Articulos(CCT - BAHIA BLANCA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - BAHIA BLANCA
Citación
Capriotti, Santiago; Díaz, V.; García-Toraño Andrés, Eduardo; Mestdag, T.; Cotangent bundle reduction and Routh reduction for polysymplectic manifolds; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 55; 41; 10-2022; 1-36
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