Reduction (by stages) in the whole Lagrange-Poincaré category
We study the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reduction can be done in the whole category. Furthermore, we analyze the Noether theorem on LP-bundles, the relationship with Hami...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/126146 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/126146 |
| Access Level: | acceso abierto |
| Palabra clave: | Lagrange-Poincaré category Lie group action Noether theorem Reduction Symmetry Matemáticas (Matemáticas) 12 Matemáticas |
| Sumario: | We study the reduction scheme in the whole LP category, introduced in [7] to perform Lagrangian reduction by stages. We answer affirmatively the open question of whether reduction can be done in the whole category. Furthermore, we analyze the Noether theorem on LP-bundles, the relationship with Hamiltonian reduction by stages and some geometric aspects of the definition of this category. |
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