Characterizing the Blaschke connection
| dc.contributor.author | Muñoz Masqué, Jaime | |
| dc.contributor.author | Valdés Morales, Antonio | |
| dc.date.accessioned | 2023-06-20T18:48:18Z | |
| dc.date.available | 2023-06-20T18:48:18Z | |
| dc.date.issued | 1999-11-30 | |
| dc.description.abstract | The authors introduce a planar web on a 2-dimensional surface M as a special G -structure. The classical construction by W. Blaschke associates a connection to every planar web. The authors deduce that the Blaschke connection is the only natural one | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGES | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22450 | |
| dc.identifier.doi | 10.1016/S0926-2245(99)00036-4 | |
| dc.identifier.issn | 0926-2245 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0926224599000364 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58668 | |
| dc.issue.number | 3 | |
| dc.journal.title | Differential Geometry and Its Applications | |
| dc.language.iso | eng | |
| dc.page.final | 243 | |
| dc.page.initial | 237 | |
| dc.publisher | Elsevier Science | |
| dc.relation.projectID | PB95–0124 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514.7 | |
| dc.subject.keyword | Blaschke connection | |
| dc.subject.keyword | differential invariant | |
| dc.subject.keyword | jet bundle | |
| dc.subject.keyword | linear frame | |
| dc.subject.keyword | natural connection | |
| dc.subject.keyword | threeweb | |
| dc.subject.ucm | Geometría diferencial | |
| dc.subject.unesco | 1204.04 Geometría Diferencial | |
| dc.title | Characterizing the Blaschke connection | |
| dc.type | journal article | |
| dc.volume.number | 11 | |
| dcterms.references | M. Atiyah, R. Bott and V.K. Patodi, On the heat equation and the index theorem, Invent. Math. 19 (1973) 279–330. W. Blaschke and G. Bol, Geometrie der Gewebe (Springer, Berlin, 1938). S.S. Chern, The geometry of G-structures, Bull. Amer. Math. Soc. (N.S.) 72 (1966) 167–219. D.B.A. Epstein, Natural tensors on Riemannian manifolds, J. Differential Geom. 10 (1975) 631–645. J. Gancarzewicz and I. Kolár, Some gauge-natural operators on linear connections, Monatsh. Math. 111 (1991) 23–33. V.V. Goldberg, Theory of Multicodimensional .n C 1/-Webs, Mathematics and Its Applications 44 (Kluwer, Dordrecht, 1988). V.V. Goldberg, On a linearizability condition for a three-web on a two-dimensional manifold, in: Differential Geometry, Proc. 3rd Int. Symp. Peniscola, Spain, 1988, Lecture Notes in Math. 1410 (Springer, Berlin–New York, 1989) 223–239. P.L. García Pérez and J. Muñoz Masqué, Differential invariants on the bundles of linear frames, J. Geom. Phys. 7 (1990) (3) 395–418. S. Kobayashi, Transformation Groups in Differential Geometry (Springer, Berlin, 1972). S. Kobayashi and K. Nomizu, Foundations of Differential Geometry I (J. Wiley, New York, 1963). I. Kolár, P.W. Michor and J. Slovák, Natural Operations in Differential Geometry (Springer, Berlin, 1993). A. Kumpera, Invariants différentiels d’un pseudogroupe de Lie I, II, J. Differential Geometry 10 (1975) 289–345 and 347–416. A. Nijenhuis, Jacobi-type identities for bilinear differential concomitants of certain tensor fields I, II, Kon. Nederl. Akad. Wetensch. Proc. A 58 (1955) 390–403. A. Nijenhuis, Invariant differentiation techniques, Proceedings of the Conference on Geometric Methods in Non-Linear Field Theory, Camigliatello Silano (Cosenza) 1985 (World Scientific, 1985) 249–266. P.J. Olver, Equivalence, Invariants, and Symmetry (Cambridge University Press, Cambridge, 1995). R. Palais, Natural operations on differential forms, Trans. Amer. Math. Soc. 92 (1959) 125–141. J. Slovák, Peetre theorem for nonlinear operators, Ann. Global Anal. Geom. 6 (1988) (3) 273–283. J. Slovák, On natural connections on Riemannian manifolds, Comment. Math. Univ. Carolin. 30 (1989) 389–393. S. Sternberg, Lectures on Differential Geometry (Prentice-Hal, Englewood Cliffs, 1964). F. Takens, A global version of the inverse problem of the calculus of variations, J. Differential Geom. 14 (1978) 543–562. C.L. Terng, Natural vector bundles and natural differential operators, Amer. J. Math. 100 (1978) 775–828. T.Y. Thomas, The Differential Invariants of Generalized Spaces (Cambridge University Press, London, 1934). | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 2ee189aa-d1f1-45ca-a646-7433de5952b9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 2ee189aa-d1f1-45ca-a646-7433de5952b9 |
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