| Title:
|
On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles (English) |
| Author:
|
Dekrét, Anton |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
22 |
| Issue:
|
4 |
| Year:
|
1972 |
| Pages:
|
653-662 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C05 |
| MSC:
|
55F10 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0246.53020 |
| idMR:
|
MR0310921 |
| DOI:
|
10.21136/CMJ.1972.101132 |
| . |
| Date available:
|
2008-06-09T13:59:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101132 |
| . |
| Reference:
|
[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. Zbl 0046.40802, MR 0066734 |
| Reference:
|
[2] Gheorghiev G.: Sur les prolongements réguliers des espaces fibres et les groupes de Lie associés.CRAS 266 (1968), 165-68. Zbl 0171.20605, MR 0231397 |
| Reference:
|
[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. Zbl 0109.40601, MR 0126810 |
| Reference:
|
[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 0301668 |
| Reference:
|
[5] Kolář I.: On the torsion of spaces with connection.Czech. Math. Journal 21 (96) 1971, Praha, 124-136. MR 0293531 |
| Reference:
|
[6] Kolář I.: On the absolute differentiation of geometric object fields.to appear. MR 0326593 |
| Reference:
|
[7] Laptev G. F.: Structure equations of principal fibre bundles.(Rusian), Trudy g. seminara II. 1969, 161-78. MR 0254867 |
| Reference:
|
[8] Libermann P.: Sur la géométrie des prolongements des espaces fibres vectoriels.Ann. Inst. Fourier, Grenoble 14 (1964), 145-72. Zbl 0126.38201, MR 0167925, 10.5802/aif.167 |
| Reference:
|
[9] Lumiste U. G.: Svjaznosti v odnorodnych rasslojenjach.Mat. sb. 1966, 69, 419-454. MR 0203627 |
| Reference:
|
[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. |
| Reference:
|
[11] Virsík J.: A generalised point of view to higher order connections on fibre bundles.Czech. Math. J. 19 (94) (1969), 110-42. MR 0242187 |
| Reference:
|
[12] Virsík J.: Non-holonomic connections on vector bundles I..Cz. Math. 1. 17 (92) (1967), 108-147. MR 0210021 |
| . |
