@article{MASLO_1980_30_1_a8,
author = {Kol\'a\v{r}, Ivan},
title = {Structure morphisms of prolongation functors},
journal = {Mathematica slovaca},
pages = {83--93},
year = {1980},
volume = {30},
number = {1},
mrnumber = {568217},
zbl = {0425.58004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1980_30_1_a8/}
}
Kolář, Ivan. Structure morphisms of prolongation functors. Mathematica slovaca, Tome 30 (1980) no. 1, pp. 83-93. http://geodesic.mathdoc.fr/item/MASLO_1980_30_1_a8/
[1] BOSSARD Y.: Pseudogroupes de Lie de type fini et methode du repere mobile. Ann Math, pura Appl., 105, 1975, 3-36. | MR | Zbl
[2] TONG VAN DUC: Sur la géométrie différentielle des fibrés vectoriels. Kodai Math. Sem. Rep., 26, 1975, 349--408. | MR | Zbl
[3] EHRESMANN C.: Les prolongements d'un espace fibré différentiable. C. R. Acad. Sci. Paris, 240 1955, 1755-1757 | MR | Zbl
[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. | MR | Zbl
[5] GOLDSCHMIDT H., STERNBERG S.: The Hamilton formalism in the calculus of variations. Ann. Inst. Fourier (Grenoble), 23, 1973, 203-267. | MR
[6] GUILLEMIN V., STERNBERG S.: Deformation theory of pseudogroup structures. Mem. Amer. Math. Soc. 64, 1966. | MR
[7] KOBAYASHI S., NOMIZU K.: Foundations of Differential Geometry, I. New York-London-Sydney 1963. | Zbl
[8] KOLÁŘ I.: Canonical forms on the prolongations of principal fiber bundles. Rev. Roum. Math. Pures Appl., 16, 1971, 1091-1106. | MR
[9] KOLÁŘ I.: Fundamental vector fields on associated fiber bundles. Čas. Pěst. Mat. 102, 1977, 419-425. | MR | Zbl
[10] KRUPKA D.: A geometric theory of ordinary first order variational problems in fibered manifolds I. J. Math. Anal. Appl., 49, 1975, 180-206. | MR | Zbl
[11] KRUPKA D., TRAUTMAN A.: General Invariance of Lagrangian structures. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 22, 1974, 207-211. | MR | Zbl
[12] KUMPERA A., SPENCER D.: Lie equations I. Annals of Mathematics Studies 73, Princeton 1972.
[13] NIJENHUIS A.: Natural bundles and their general properties. Differential geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, 317-334. | MR | Zbl
[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. | MR | Zbl
[15] PRADINES J.: Fibrés vectoriels doubles symétriques et jets holonomes d'ordre 2. C. R. Acad. Sci. Paris 278 1974 A, 1557-1560. | MR | Zbl
[16] SALVIOLI S. A.: On the theory of geometric objects. J. Differential Geometry, 7, 1972, 257-278. | MR | Zbl
[17] TRAUTMAN A.: Invariance of Lagrangian systems. General Relativity, Papers in honour J. L. Synge, Clarendon Press, Oxford 1972, 85-99. | MR | Zbl