@article{10_21136_CMJ_1972_101132,
author = {Dekr\'et, Anton},
title = {On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles},
journal = {Czechoslovak Mathematical Journal},
pages = {653--662},
year = {1972},
volume = {22},
number = {4},
doi = {10.21136/CMJ.1972.101132},
mrnumber = {0310921},
zbl = {0246.53020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101132/}
}
TY - JOUR AU - Dekrét, Anton TI - On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles JO - Czechoslovak Mathematical Journal PY - 1972 SP - 653 EP - 662 VL - 22 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101132/ DO - 10.21136/CMJ.1972.101132 LA - en ID - 10_21136_CMJ_1972_101132 ER -
%0 Journal Article %A Dekrét, Anton %T On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles %J Czechoslovak Mathematical Journal %D 1972 %P 653-662 %V 22 %N 4 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101132/ %R 10.21136/CMJ.1972.101132 %G en %F 10_21136_CMJ_1972_101132
Dekrét, Anton. On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles. Czechoslovak Mathematical Journal, Tome 22 (1972) no. 4, pp. 653-662. doi: 10.21136/CMJ.1972.101132
[1] Ch. Ehresmann: Les prolongements d'une variété différentiable. C.R. Acad. Sci., Paris 234 (1952), 1424-1425. Extension du calcul des jets aux jets non-holonomes, CRAS Paris 239 (1954), 1762-64. Les prolongements d'une espace fibre diff'érentiable, CRAS Paris 240 (1955), 1755--57. | MR | Zbl
[2] Gheorghiev G.: Sur les prolongements réguliers des espaces fibres et les groupes de Lie associés. CRAS 266 (1968), 165-68. | MR | Zbl
[3] Kobayashi S.: Canonical forms on frame bundles of higher order contact. Proc. of symposia in pure math., vol. III., A.M.S., 1961, 186-93. | MR | Zbl
[4] Kolář I.: Canonical forms on the prolongation of principal fibre bundles. Revue Roumaine Math. Pur. Apl, T. XVI, N. 7 (1971), 1091-105. | MR
[5] Kolář I.: On the torsion of spaces with connection. Czech. Math. Journal 21 (96) 1971, Praha, 124-136. | MR
[6] Kolář I.: On the absolute differentiation of geometric object fields. to appear. | MR
[7] Laptev G. F.: Structure equations of principal fibre bundles. (Rusian), Trudy g. seminara II. 1969, 161-78. | MR
[8] Libermann P.: Sur la géométrie des prolongements des espaces fibres vectoriels. Ann. Inst. Fourier, Grenoble 14 (1964), 145-72. | DOI | MR | Zbl
[9] Lumiste U. G.: Svjaznosti v odnorodnych rasslojenjach. Mat. sb. 1966, 69, 419-454. | MR
[10] Yuen Ping Cheng: Sur les repères d'ordre supérieur et les connexions linéaires d'ordre supérieur. CRAS Paris Sér. A, 270 (1970) A957-A959.
[11] Virsík J.: A generalised point of view to higher order connections on fibre bundles. Czech. Math. J. 19 (94) (1969), 110-42. | MR
[12] Virsík J.: Non-holonomic connections on vector bundles I. Cz. Math. 1. 17 (92) (1967), 108-147. | MR
Cité par Sources :