Reduction in principal bundles: covariant Lagrange-Poincaré equations.
| dc.contributor.author | Castrillón López, Marco | |
| dc.contributor.author | Ratiu, T. | |
| dc.date.accessioned | 2023-06-20T10:38:22Z | |
| dc.date.available | 2023-06-20T10:38:22Z | |
| dc.date.issued | 2003-05 | |
| dc.description.abstract | A general reduction theory for field theoretical Lagrangians on principal fiber bundles is presented. The reduced variational problem as well as the associated equations are formulated. The link between the solutions of the original problem and that of the reduced problem is discussed and an obstruction to the reconstruction of the solutions is isolated. The important case of semidirect products is discussed in detail and several concrete examples are presented. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGESIC | |
| dc.description.sponsorship | European Commission and the Swiss Federal Government | |
| dc.description.sponsorship | Research Training Network Mechanics and Symmetry in Europe (MASIE) | |
| dc.description.sponsorship | Swiss National Science Foundation. | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/23327 | |
| dc.identifier.doi | 10.1007/s00220-003-0797-5 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.officialurl | http://link.springer.com/article/10.1007%2Fs00220-003-0797-5 | |
| dc.identifier.relatedurl | http://link.springer.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50862 | |
| dc.issue.number | 2 | |
| dc.journal.title | Communications in Mathematical Physics | |
| dc.language.iso | eng | |
| dc.page.final | 250 | |
| dc.page.initial | 223 | |
| dc.publisher | Springer | |
| dc.relation.projectID | BMF2000- 1314 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 531/534 | |
| dc.subject.keyword | principal bundles | |
| dc.subject.keyword | reduction | |
| dc.subject.keyword | reconstruction | |
| dc.subject.keyword | Lagrange-Poincaré equations | |
| dc.subject.ucm | Física matemática | |
| dc.subject.ucm | Geometría diferencial | |
| dc.subject.unesco | 1204.04 Geometría Diferencial | |
| dc.title | Reduction in principal bundles: covariant Lagrange-Poincaré equations. | |
| dc.type | journal article | |
| dc.volume.number | 236 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 32e59067-ef83-4ca6-8435-cd0721eb706b | |
| relation.isAuthorOfPublication.latestForDiscovery | 32e59067-ef83-4ca6-8435-cd0721eb706b |
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