Weil bundles and jet spaces
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 721-748 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 58A20, 58A32
Keywords: jet near point contact element Weil bundle fundamental identification; near point; contact element; Weil bundle; fundamental identification
@article{CMJ_2000_50_4_a4,
     author = {Mu\~noz, J. and Rodriguez, J. and Muriel, F. J.},
     title = {Weil bundles and jet spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {721--748},
     year = {2000},
     volume = {50},
     number = {4},
     mrnumber = {1792967},
     zbl = {1079.58500},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a4/}
}
TY  - JOUR
AU  - Muñoz, J.
AU  - Rodriguez, J.
AU  - Muriel, F. J.
TI  - Weil bundles and jet spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2000
SP  - 721
EP  - 748
VL  - 50
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a4/
LA  - en
ID  - CMJ_2000_50_4_a4
ER  - 
%0 Journal Article
%A Muñoz, J.
%A Rodriguez, J.
%A Muriel, F. J.
%T Weil bundles and jet spaces
%J Czechoslovak Mathematical Journal
%D 2000
%P 721-748
%V 50
%N 4
%U http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a4/
%G en
%F CMJ_2000_50_4_a4
Muñoz, J.; Rodriguez, J.; Muriel, F. J. Weil bundles and jet spaces. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 721-748. http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a4/

[Ric:96] R. J. Alonso Blanco: D-modules, contact valued calculus and Poincaré-Cartan form. Submitted for publication.

[Ehr:51] C. Ehresmann: Les prolongements d’une varieté différentiable. I: Calcul del jets, prolongement principal; II: L’espace des jets d’ordre $r$ de $V_n$ dans $V_m$. C. R. Acad. Sci. Paris 233 (1951), 598–600, 777–779.

[Gol:67:2] H. Goldschmidt: Integrability criteria for systems of non-linear partial differential equations. J. Differential Geom. 1 (1967), 269–307. | DOI | MR

[Gri:Kru:97] D. R. Grigore and D. Krupka: Invariants of velocities, and higher order Grassmann bundles. J. Geom. Phys 24 (1998), 244–264. | DOI | MR

[Jac:62] N. Jacobson: Lie Algebras. John Wiley & Sons, Inc., New York, 1962. | MR | Zbl

[Kol:96] I. Kolář: An infinite dimensional motivation in higher order geometry. Proc. Conf. Aug. 28–Sep. 1 1995, Brno, Czech Republic, 1996, pp. 151–159. | MR

[KMS:93] I. Kolář, P. W. Michor and J. Slovák: Natural Operations in Differential Geometry. Springer-Verlag, New York, 1993. | MR

[Kur:69] M. Kuranishi: Lectures on Involutive Systems. Publicações Soc. Math., São Paulo, 1969.

[Lie:70] S. Lie: Theorie der Transformationsgruppen. Chelsea Publishing, New York, 1970. | Zbl

[Mor:76] A. Morimoto: Prolongation of connections to bundles of infinitely near points. J. Differential Geom. 11 (1976), 479–498. | DOI | MR | Zbl

[MMR:97] J. Muñoz, F. J. Muriel and J. Rodríguez: Integrability of lie equations and pseudogroups. (to appear). | MR

[Shu:93] V. V. Shurygin: Manifolds over algebras and their application to the geometry of jet bundles. Russian Math. Surveys 48 (1993), 75–104. | DOI | MR | Zbl

[Wei:53] A. Weil: Théorie des points proches sur les variétés différentiables. Colloque de Géometrie Différentielle, C.N.R.S. (1953), 111–117. | MR | Zbl