| Title:
|
On the algebraic structure on the jet prolongations of fibred manifolds (English) |
| Author:
|
Kolář, Ivan |
| Author:
|
Modugno, Marco |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
601-611 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0737.58002 |
| idMR:
|
MR1084896 |
| DOI:
|
10.21136/CMJ.1990.102414 |
| . |
| Date available:
|
2008-06-09T15:35:24Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102414 |
| . |
| Reference:
|
[1] A. Cabras D. Canarutto M. Modugno: Structured bundles.Seminar text, Florence. |
| Reference:
|
[2] R. S. Gardner W. F. Shadwick: Equivalence of one dimensional Lagrangian field theories in the plane I.Lecture Notes in Mathematics 1156, Springer 1985. 154-179. MR 0824065 |
| Reference:
|
[3] H. Goldschmidt: Non Linear Partial Differential Equations.J. Diff. Geom. 1 (1967) 269-307. 10.4310/jdg/1214428094 |
| Reference:
|
[4] I. Kolář: A geometrical version of the higher order Hamilton formalism in fibred manifolds.J. Geometry and Physics, / (1984), 127-137. MR 0794983, 10.1016/0393-0440(84)90007-X |
| Reference:
|
[5] I. Kolář M. Modugno: On the algebraic structure on the bundles of higher order velocities.Seminari Istituto di Matematica Applicata „G. Sansone", Florence, 1989. |
| Reference:
|
[6] P. Libermann: Sur les prolongements des fìbrés principaux et groupoides différentiables.Semin. Anal. Glob., Montréal, 1969, 7-108. MR 0356117 |
| Reference:
|
[7] L. Mangìarotti M. Modugno: New Operators on Jet Spaces.Ann. Fac. Sci. Toulouse, V (1983), 171-198. MR 0735661 |
| Reference:
|
[8] L. Mangiarotti M. Modugno: Fibered Spaces, Jet Spaces and Connections for Field Theories., Proc. of Int. Meeting "Geometry and Physics", Florence 1982, Pitagora Editrice, Bologna 1983, 135-165. MR 0760841 |
| Reference:
|
[9] J. Pradines: Fibrés vectoriels double symmétriques etjets holonomes d'order 2.CRAS Paris, 278 (1974), 1557-1560. MR 0388433 |
| Reference:
|
[10] A. Trautman: Invariance of Lagrangian systems.General Relativity, Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. Zbl 0273.58004, MR 0503424 |
| . |
