On the structure of the moduli of jets of G-structures with a linear connection
dc.contributor.author | Martínez Ontalba, Celia | |
dc.contributor.author | Muñoz Masqué, Jaime | |
dc.contributor.author | Valdés Morales, Antonio | |
dc.date.accessioned | 2023-06-20T17:00:53Z | |
dc.date.available | 2023-06-20T17:00:53Z | |
dc.date.issued | 2003 | |
dc.description.abstract | The moduli space of jets of G-structures admitting a canonical linear connection is shown to be isomorphic to the quotient by G of a natural G-module. | |
dc.description.department | Depto. de Álgebra, Geometría y Topología | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | DGICYT | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/16808 | |
dc.identifier.doi | 10.1016/S0926-2245(02)00162-6 | |
dc.identifier.issn | 0926-2245 | |
dc.identifier.officialurl | http://www.sciencedirect.com/science/journal/09262245 | |
dc.identifier.relatedurl | http://www.sciencedirect.com | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/57626 | |
dc.issue.number | 3 | |
dc.journal.title | Differential Geometry and Its Applications | |
dc.language.iso | eng | |
dc.page.final | 283 | |
dc.page.initial | 271 | |
dc.publisher | Elsevier Science | |
dc.relation.projectID | PB98-533. | |
dc.rights.accessRights | restricted access | |
dc.subject.cdu | 514.7 | |
dc.subject.keyword | Canonical linear connection | |
dc.subject.keyword | Differential invariant | |
dc.subject.keyword | G-structure | |
dc.subject.keyword | Jet bundles | |
dc.subject.keyword | Moduli of G-structures | |
dc.subject.ucm | Geometría diferencial | |
dc.subject.unesco | 1204.04 Geometría Diferencial | |
dc.title | On the structure of the moduli of jets of G-structures with a linear connection | |
dc.type | journal article | |
dc.volume.number | 18 | |
dcterms.references | V.I. Arnold, Mathematical Problems in Classical Physics, in: Trends and Perspectives in Applied Mathematics, Applied Mathematics Sciences, Vol. 100, Springer-Verlag, New York, 1994. D. Bernard, Sur la géometrie différentielle des G-structures, Ann. Inst. Fourier, Grenoble 10 (1960) 151–270. D.B.A. Epstein, Natural tensors on Riemannian manifolds, J. Differential Geom. 10 (1975) 631–645. A. Fujimoto, Theory of G-structures, Vol. 1, 1972, English edition translated from the original Japanese, Publications of the Study Group of Geometry. S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, Berlin, 1972. S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley, New York, 1963. J. Muñoz Masqué, A. Valdés, The number of functionally independent invariants of a pseudo-Riemannian metric, J. Phys. A: Math. Gen. 27 (1994) 7843–7855. R.S. Palais, Seminar on the Atiyah–Singer Index Theorem, in: Ann. Math. Studies, Vol. 57, Princeton University Press, Princeton, NJ, 1965. T.Y. Thomas, The Differential Invariants of Generalized Spaces, Cambridge University Press, London, 1934. A. Valdés, Differential invariants of R∗-structures, Math. Proc. Cambridge Philos. Soc. 119 (1996) 341–356. A.M. Verbovetskii, A.M. Vinogradov, D.M. Gessler, Scalar differential invariants and characteristic classes of homogeneous geometric structures, Math. Notes 51 (1996) 543–549. A.M. Vinogradov, Scalar differential invariants, diffieties and characteristic classes, in: M. Francaviglia (Ed.), Mechanics, Analysis and Geometry: 200 Years After Lagrange, Elsevier, Amsterdam, 1991, pp. 379–414. | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | b32a56e7-51d2-4637-9e2d-d37952f13e53 | |
relation.isAuthorOfPublication | 2ee189aa-d1f1-45ca-a646-7433de5952b9 | |
relation.isAuthorOfPublication.latestForDiscovery | b32a56e7-51d2-4637-9e2d-d37952f13e53 |
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