| Title:
|
Weil bundles and jet spaces (English) |
| Author:
|
Muñoz, J. |
| Author:
|
Rodriguez, J. |
| Author:
|
Muriel, F. J. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
721-748 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Keyword:
|
jet near point contact element Weil bundle fundamental identification |
| Keyword:
|
near point |
| Keyword:
|
contact element |
| Keyword:
|
Weil bundle |
| Keyword:
|
fundamental identification |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1079.58500 |
| idMR:
|
MR1792967 |
| . |
| Date available:
|
2009-09-24T10:37:29Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127607 |
| . |
| Reference:
|
[Ric:96] R. J. Alonso Blanco: D-modules, contact valued calculus and Poincaré-Cartan form. Submitted for publication.. |
| Reference:
|
[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. |
| Reference:
|
[Gol:67:2] H. Goldschmidt: Integrability criteria for systems of non-linear partial differential equations.J. Differential Geom. 1 (1967), 269–307. MR 0226156, 10.4310/jdg/1214428094 |
| Reference:
|
[Gri:Kru:97] D. R. Grigore and D. Krupka: Invariants of velocities, and higher order Grassmann bundles.J. Geom. Phys 24 (1998), 244–264. MR 1491556, 10.1016/S0393-0440(97)00012-0 |
| Reference:
|
[Jac:62] N. Jacobson: Lie Algebras.John Wiley & Sons, Inc., New York, 1962. Zbl 0121.27504, MR 0143793 |
| Reference:
|
[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 1406335 |
| Reference:
|
[KMS:93] I. Kolář, P. W. Michor and J. Slovák: Natural Operations in Differential Geometry.Springer-Verlag, New York, 1993. MR 1202431 |
| Reference:
|
[Kur:69] M. Kuranishi: Lectures on Involutive Systems.Publicações Soc. Math., São Paulo, 1969. |
| Reference:
|
[Lie:70] S. Lie: Theorie der Transformationsgruppen.Chelsea Publishing, New York, 1970. Zbl 0248.22009 |
| Reference:
|
[Mor:76] A. Morimoto: Prolongation of connections to bundles of infinitely near points.J. Differential Geom. 11 (1976), 479–498. Zbl 0358.53013, MR 0445422, 10.4310/jdg/1214433720 |
| Reference:
|
[MMR:97] J. Muñoz, F. J. Muriel and J. Rodríguez: Integrability of lie equations and pseudogroups.(to appear). MR 1797843 |
| Reference:
|
[Shu:93] V. V. Shurygin: Manifolds over algebras and their application to the geometry of jet bundles.Russian Math. Surveys 48 (1993), 75–104. Zbl 0804.53041, MR 1239861, 10.1070/RM1993v048n02ABEH001013 |
| Reference:
|
[Wei:53] A. Weil: Théorie des points proches sur les variétés différentiables.Colloque de Géometrie Différentielle, C.N.R.S. (1953), 111–117. Zbl 0053.24903, MR 0061455 |
| . |
