| Title:
|
Structure morphisms of prolongation functors (English) |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
30 |
| Issue:
|
1 |
| Year:
|
1980 |
| Pages:
|
83-93 |
| . |
| Category:
|
math |
| . |
| MSC:
|
18F15 |
| MSC:
|
18F99 |
| MSC:
|
53C05 |
| MSC:
|
58A05 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0425.58004 |
| idMR:
|
MR568217 |
| . |
| Date available:
|
2009-09-25T09:05:27Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129075 |
| . |
| Reference:
|
[1] BOSSARD Y.: Pseudogroupes de Lie de type fini et methode du repere mobile.Ann Math, pura Appl., 105, 1975, 3-36. Zbl 0323.58025, MR 0388430 |
| Reference:
|
[2] TONG VAN DUC: Sur la géométrie différentielle des fibrés vectoriels.Kodai Math. Sem. Rep., 26, 1975, 349--408. Zbl 0331.53024, MR 0388274 |
| Reference:
|
[3] EHRESMANN C.: Les prolongements d'un espace fibré différentiable.C. R. Acad. Sci. Paris, 240 1955, 1755-1757 Zbl 0064.17502, MR 0071083 |
| Reference:
|
[4] GARCIA P. L.: The Poincaré-Cartan invariant in the calculus of variations.lnstituto Nazionale di Alta Matematica, Symposia Mathematica XIV, Roma 1974, 219-246. Zbl 0303.53040, MR 0406246 |
| Reference:
|
[5] GOLDSCHMIDT H., STERNBERG S.: The Hamilton formalism in the calculus of variations.Ann. Inst. Fourier (Grenoble), 23, 1973, 203-267. MR 0341531 |
| Reference:
|
[6] GUILLEMIN V., STERNBERG S.: Deformation theory of pseudogroup structures.Mem. Amer. Math. Soc. 64, 1966. MR 0211421 |
| Reference:
|
[7] KOBAYASHI S., NOMIZU K.: Foundations of Differential Geometry, I.New York-London-Sydney 1963. Zbl 0119.37502 |
| Reference:
|
[8] KOLÁŘ I.: Canonical forms on the prolongations of principal fiber bundles.Rev. Roum. Math. Pures Appl., 16, 1971, 1091-1106. MR 0301668 |
| Reference:
|
[9] KOLÁŘ I.: Fundamental vector fields on associated fiber bundles.Čas. Pěst. Mat. 102, 1977, 419-425. Zbl 0374.58003, MR 0482887 |
| Reference:
|
[10] KRUPKA D.: A geometric theory of ordinary first order variational problems in fibered manifolds I.J. Math. Anal. Appl., 49, 1975, 180-206. Zbl 0312.58002, MR 0362397 |
| Reference:
|
[11] KRUPKA D., TRAUTMAN A.: General Invariance of Lagrangian structures.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 22, 1974, 207-211. Zbl 0278.49044, MR 0345130 |
| Reference:
|
[12] KUMPERA A., SPENCER D.: Lie equations I.Annals of Mathematics Studies 73, Princeton 1972. |
| Reference:
|
[13] NIJENHUIS A.: Natural bundles and their general properties.Differential geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, 317-334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[14] PRADINES J.: Théorie de Lie pour les groupoïdes différentiables.Calcul différentiel dans la catégorie des groupoïdes infinitésimaux. C. R. Acad. Sci. Paris 264, 1967 A, 245-248. Zbl 0154.21704, MR 0216409 |
| Reference:
|
[15] PRADINES J.: Fibrés vectoriels doubles symétriques et jets holonomes d'ordre 2.C. R. Acad. Sci. Paris 278 1974 A, 1557-1560. Zbl 0285.58003, MR 0388433 |
| Reference:
|
[16] SALVIOLI S. A.: On the theory of geometric objects.J. Differential Geometry, 7, 1972, 257-278. Zbl 0276.53013, MR 0320922 |
| Reference:
|
[17] TRAUTMAN A.: Invariance of Lagrangian systems.General Relativity, Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. Zbl 0273.58004, MR 0503424 |
| . |
