Some remarks on Lagrangian and Poisson reduction for field theories
| dc.contributor.author | Castrillón López, Marco | |
| dc.contributor.author | Marsden, Jerrold E. | |
| dc.date.accessioned | 2023-06-20T10:38:20Z | |
| dc.date.available | 2023-06-20T10:38:20Z | |
| dc.date.issued | 2003-10 | |
| dc.description.abstract | Given a Hamiltonian system on a fiber bundle, the Poisson covariant formulation of the Hamilton equations is described. When the fiber bundle is a G-principal bundle and the Hamiltonian density is G-invariant, the reduction of this formulation is studied thus obtaining the analog of the Lie-Poisson reduction for field theories. The relation of this reduction with the Lagrangian reduction and the Lagrangian and Poisson reduction for electromagnetism are also analyzed. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | NSF | |
| dc.description.sponsorship | Max Planck | |
| dc.description.sponsorship | DGESIC | |
| dc.description.sponsorship | Junta Castilla-Léon | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/23323 | |
| dc.identifier.doi | 10.1016/S0393-0440(03)00025-1 | |
| dc.identifier.issn | 0393-0440 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0393044003000251 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50860 | |
| dc.issue.number | 1 | |
| dc.journal.title | Journal of geometry and physics | |
| dc.language.iso | eng | |
| dc.page.final | 83 | |
| dc.page.initial | 52 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | DMS-0204474 | |
| dc.relation.projectID | BMF2000-1314 | |
| dc.relation.projectID | SA085-01 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 515.14 | |
| dc.subject.keyword | Lagrangian and Poisson reduction | |
| dc.subject.keyword | Field theories | |
| dc.subject.keyword | Classical field theory. | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.ucm | Topología | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.subject.unesco | 1210 Topología | |
| dc.title | Some remarks on Lagrangian and Poisson reduction for field theories | |
| dc.type | journal article | |
| dc.volume.number | 48 | |
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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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