Structure symplectique généralisée sur le fibré des connexions.
| dc.contributor.author | Castrillón López, Marco | |
| dc.contributor.author | Muñoz Masqué, Jaime | |
| dc.date.accessioned | 2023-06-20T18:54:45Z | |
| dc.date.available | 2023-06-20T18:54:45Z | |
| dc.date.issued | 1999 | |
| dc.description.abstract | We prove that on the bundle of connections of an arbitrary principal bundle π: P → M there exists a canonical differential 2--form taking values in the adjoint bundle ;ing: adg:: ad P → M which defines a generalized symplectic structure and which verifies a property of “universal curvature”. The results of the present Note generalize those of [3] to an arbitrary Lie group. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/24328 | |
| dc.identifier.doi | 10.1016/S0764-4442(99)80009-3 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0764444299800093 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58913 | |
| dc.issue.number | 1 | |
| dc.journal.title | Comptes Rendus de l'Académie des Sciences. Série I. Mathématique | |
| dc.language.iso | fra | |
| dc.page.final | 44 | |
| dc.page.initial | 41 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.987.1 | |
| dc.subject.keyword | symmetry properties | |
| dc.subject.ucm | Teoría de números | |
| dc.subject.unesco | 1205 Teoría de Números | |
| dc.title | Structure symplectique généralisée sur le fibré des connexions. | |
| dc.type | journal article | |
| dc.volume.number | 328 | |
| dcterms.references | D.J. Eck. Gauge-natural bundles and generalized gauge theories. Mem. Amer. Math. Soc, 247 (1981) P.L. García Perez, J. Muñoz Masqué. Lagrangian densities invariant under the full Lie algebra of the infinitesimal automorphisms of a principal bundle, Differential Geometry and its Applications eb Proc. Conf. Opava, (Czechoslovakia), August 23–28, 1992, Silesian University, Pekin. (1993), pp. 423–437 L. Hernández Encinas, J. Muñoz Masqué. Gauge invariance on the bundle of connections of a U(1)principal bundle C. R. Acad. Sci. Paris t. 318 Série, I (1994), pp. 1133–1138 S. Kobayashi, K. Nomizu. Foundations of Differential Geometry, Vol. IJohn Wiley & Sons, Opava (1963) J.L. Koszul. Fibre bundles and Differential Geometry. Tata Institute of Fundamental Research, New York (1960) P. Libermann, Ch.M. Marie. Symplectic Geometry and Analytical Mechanics. D. Reidel Publishing Company, Bombay (1987) | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 32e59067-ef83-4ca6-8435-cd0721eb706b | |
| relation.isAuthorOfPublication.latestForDiscovery | 32e59067-ef83-4ca6-8435-cd0721eb706b |
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