| Title:
|
Jet involution and prolongations of connections (English) |
| Title:
|
Involuce jetů a prodloužení konexí (Czech) |
| Author:
|
Modugno, Marco |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
114 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
356-365 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0693.58002 |
| idMR:
|
MR1027231 |
| DOI:
|
10.21136/CPM.1989.118390 |
| . |
| Date available:
|
2009-09-23T09:54:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118390 |
| . |
| Reference:
|
[1] C. Ehresmann: Les connexions infinitésimales dans un espace fibre différentiable.Coll. Topologie (Bruxelles, 1950), Liège 1951, 29-55. MR 0042768 |
| Reference:
|
[2] M. Ferraris M. Francaviglia: The theory of formal connections and fibred connections in fibred manifolds.In: Differential geometry, L. A. Cordero editor, Pittman, 1985, 297-317. MR 0864878 |
| Reference:
|
[3] A. Frölicher A. Nijenhuis: Theory of vector valued differential forms. Part I. Derivations in the graded ring of differential forms.Indag. Math. 18 (1956), 338-385. MR 0082554 |
| Reference:
|
[4] J. Grifone: Structure presque tangente et connexions, I.Ann. Inst. Fourier, 22, 1 (1972), 287-334. Zbl 0219.53032, MR 0336636 |
| Reference:
|
[5] I. Kolář: Higher order torsion of spaces with Cartan connections.Cahiers de Topologie et Géometrie Differentielle, 12, 2 (1981), 29-34. MR 0315619 |
| Reference:
|
[6] I. Kolář: Connections in 2-fibred manifolds.Arch. Math. (Brno), XVII, 1981, 23-30. MR 0672485 |
| Reference:
|
[7] P. Libermann: Sur les prolongements des fibrés principaux et grupoides différentiables.Sem. Anal. Glob, Montreal, 1969, 7-108. MR 0356117 |
| Reference:
|
[8] P. Libermann: Parallelismes.J. Diff. Geom., 8 (1973), 511 - 539. Zbl 0284.53023, MR 0353189 |
| Reference:
|
[9] L. Mangiarotti M. Modugno: New operators on jet spaces.Ann. Fac. Scie. Toulouse, 5 (1983), 171-198. MR 0735661 |
| Reference:
|
[10] L. Mangiarotti M. Modugno: Fibered spaces, jet spaces and connections for field theories.Proceedings of International Meeting "Geometry and Physics", Florence, 1982, Pitagora Editrice, Bologna, 1983, 135-165. MR 0760841 |
| Reference:
|
[11] L. Mangiarotti M. Modugno: Graded Lie algebras and connections on a fibred space.J. Math. Pur. et Appl. 63 (1984), 111- 120. MR 0776913 |
| Reference:
|
[12] M. Modugno: An introduction to systems of connections.Seminario Instituto di Matematica Applicata "G. Sansone", 1986, 1 - 63. |
| Reference:
|
[13] K. Yano S. Ishihara: Tangent and cotangent bundles.M. Dekker, New York, 1973. MR 0350650 |
| Reference:
|
[14] C. Gunther: The polysymplectic Hamiltonian formalism in field theory and calculus of variations.preprint, 1986, 1-57. MR 1023179 |
| . |
