Cotangent bundle reduction and Routh reduction for polysymplectic manifolds
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 a...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/220705 |
| Acceso en línea: | http://hdl.handle.net/11336/220705 |
| Access Level: | acceso abierto |
| Palabra clave: | HAMILTONIAN FIELD THEORY LAGRANGIAN FIELD THEORY MOMENTUM MAP POLYSYMPLECTIC STRUCTURE ROUTH REDUCTION SYMMETRY SYMPLECTIC REDUCTION https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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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