| Title:
|
A generalized point of view to higher order connections on fibre bundles (English) |
| Author:
|
Virsík, Juraj |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
19 |
| Issue:
|
1 |
| Year:
|
1969 |
| Pages:
|
110-142 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53.00 |
| MSC:
|
57.30 |
| idZBL:
|
Zbl 0183.50603 |
| idMR:
|
MR0242187 |
| DOI:
|
10.21136/CMJ.1969.100882 |
| . |
| Date available:
|
2008-06-09T13:40:45Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100882 |
| . |
| Reference:
|
[1] B. Cenkl: On the higher order connections.Cahiers de Topologie et Géom. Diff., Vol. IX (1967), 11-32. Zbl 0197.47801, MR 0233300 |
| Reference:
|
[2] В. Cenkl: Infinitesimal connections of higher order.Revue Roumaine Math. Pures et AppL, Tome X (1965), 1277-1280. Zbl 0139.15202, MR 0205182 |
| Reference:
|
[3] Ch. Ehresmann: Les connexions infinitésimales dans un espace fibre diff"érentiable.Colloque de topologie, Bruxelles 1950, 29 - 55. MR 0042768 |
| Reference:
|
[4] Ch. Ehresmann: Les prolongements d'une variété diff'érentiable.C. R. Acad. Sci, Paris 233 (1951), 598-600, 111-119, 1081-1083; 239 (1954), 1762-1764; 240 (1955), 397-399, 1755-1757. |
| Reference:
|
[5] Ch. Ehresmann: Sur les connexions d'ordre supérieur.Atti del V. Congresso dell'Unione Mat. Ital. Pavia-Torino, 1956, 1-3. |
| Reference:
|
[6] Ch. Ehresmann: Gattungen von lokalen Strukturen.Jahresbericht Deutsch. Math. Ver., Bd. 60 (1957), 49-77. Zbl 0097.37803, MR 0095894 |
| Reference:
|
[7] Ch. Ehresmann: Catégories topologiques et catégories difFérentiables.Coll. Géom. Diff. Glob., Bruxelles, 1959. Zbl 0205.28202, MR 0116360 |
| Reference:
|
[8] Ch. Ehresmann: Prolongements des catégories dijfférentiables.Topologie et Géom. Diff., Vol. VI (1964), 1-8. MR 0179225 |
| Reference:
|
[9] E. Feldmann: The geometry of immersions.Bull. Amer. Math. Soc, 69 (1963), 693-698. MR 0151986, 10.1090/S0002-9904-1963-10988-X |
| Reference:
|
[10] P. Libermann: Connexions d'ordre supérieur.3° Coloquio Brasileiro de Mat. Fortaleza, 1961. MR 2396624 |
| Reference:
|
[11] P. Libermann: Calcul tensoriel et connexions d'ordre supérieur.Anais da Acad. Bras, de Ciencias, 37 (1965), 17-29. Zbl 0136.17401, MR 0200847 |
| Reference:
|
[12] P. Libermann: Sur la géométrie des prolongements des espaces fibres vectoriels.Ann. Inst. Fourier, Grenoble, 14 (1964), 145-172. Zbl 0126.38201, MR 0167925, 10.5802/aif.167 |
| Reference:
|
[13] P. Libermann: Surconnexions.С. R. Acad. Sci. Paris, 258 (1964), 6327-6330; 261 (1965), 2801-2804. Zbl 0127.12802 |
| Reference:
|
[14] K. Nomizu: Lie Groups and Differential Geometry.Publ. Math. Soc. Japan 2 (1956). Zbl 0071.15402, MR 0084166 |
| Reference:
|
[15] W. Pohl: Connexions in differential geometry of higher order.(polycopied notes), Stanford University, 1963. MR 0154293 |
| Reference:
|
[16] W. Pohl: Connexions in differential geometry of higher order.Transactions Amer. Math. Soc, 125 (1966), 310-325. Zbl 0168.19302, MR 0203628, 10.1090/S0002-9947-1966-0203628-1 |
| Reference:
|
[17] P. Ver Eecke: Sur les connexions d'éléments de contact.Thèses, Topologie et Géom. Diff., 1962. |
| Reference:
|
[18] J. Virsik: Non-holonomic connections on vector bundles.Czech. Math. J. 17 (1967), I: 108-147; II: 200-224. Zbl 0162.53802 |
| Reference:
|
[19] J. Virsik: Über Zusammenhänge höherer Ordnungen in Vektorraumbündeln.Math. Nachrichten 34 (1967), 219-227. Zbl 0149.39901, MR 0216416 |
| . |
