| Title:
|
Connections in associated fibre bundles (English) |
| Author:
|
Lumiste, Ülo |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1981 |
| Pages:
|
421-432 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
53B10 |
| MSC:
|
53C05 |
| MSC:
|
55R10 |
| idZBL:
|
Zbl 0492.53025 |
| idMR:
|
MR626916 |
| DOI:
|
10.21136/CMJ.1981.101757 |
| . |
| Date available:
|
2008-06-09T14:44:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101757 |
| . |
| Reference:
|
[1] C. Ehresmann: Les connexions infinitésimales dans un espace fibre différentiable.Colloque de Topologie, Bruxelles 1950, 29-55. MR 0042768 |
| Reference:
|
[2] I. L. Kantor: Transitive-differential groups and invariant connections on homogeneous spaces (Russian).Trudy seminara po vekt. i tenzor. analizu, Moskovskij Gosud. Universitet, 13, 310-398(1966). MR 0217223 |
| Reference:
|
[3] I. Kolář: Canonical forms on the prolongations of principal fibre bundles.Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). MR 0301668 |
| Reference:
|
[4] I. Kolář: On the prolongations of geometric object fields.An. Sti. Univ. §'A1. J. Cuza", laşi, 17, 437-446 (1971). MR 0305278 |
| Reference:
|
[5] I. Kolář: Higher order torsions of spaces with Cartan connection.Cahiers Topologie Géom. Différentielle, 12, 137-146(1971). MR 0315619 |
| Reference:
|
[6] I. Kolář: On the absolute differentiation of geometric object fields.Ann. Polon. Math., 27, 293-304 (1973). MR 0326593, 10.4064/ap-27-3-293-304 |
| Reference:
|
[7] G. F. Laptev: The group-theoretical method in diiferential geometric investigations (Russian).Trudy 3-go Vsesojuznogo matem. sjezda, t. 2, Moskva 1965, 60-62. |
| Reference:
|
[8] G. F. Laptev: Structure equations of principal fibre bundles (Russian).Trudy Geom. seminara, 2, 161-178 (1969). MR 0254867 |
| Reference:
|
[9] Ü. Lumiste: Connections in homogeneous bundles (Russian).Mat. Sbornik, 69 (111), 434-469 (1966); Engl, transl: Amer. Math. Soc. Transl., (2) 92, 231-274 (1970). |
| Reference:
|
[10] Ü. Lumiste: Projective connections in canonical bundles of manifolds of planes (Russian).Mat. Sbornik, 91 (133), 211-233 (1973); Engl. Transl: Math. USSR Sbornik, 20, No 2, 223-248 (1973). MR 0336631 |
| Reference:
|
[11] Ü. Lumiste: Matrix respresentation of the semi-holonomic differential group and structure equations of the p-coreper bundle.(Russian), Trudy Geom. seminara, 5, 239-257 (1974). |
| Reference:
|
[12] Ü. Lumiste: Distribution on homogeneous spaces.(Russian), Problemy geometrii (Trudy Geom. seminara), 8, 5-24 (1977). MR 0482587 |
| Reference:
|
[13] V. S. Malakhovski: Differential geometry of manifolds of figures and pairs of figures in homogeneous space (Russian).Trudy Geom. seminara, 2, 179-206 (1969). MR 0253211 |
| Reference:
|
[14] M. E. Mayer: Gauge fields as quantized connection forms.Differential Geom. Methods in Math. Phys., Lect. Notes in Math., No 570 (1977). Zbl 0353.53020, MR 0462363, 10.1007/BFb0087789 |
| Reference:
|
[15] M. E. Mayer, W. Drechsler: Fibre bundle Techniques in Gauge Theories.Lect. Notes in Phys., No 67 (1977). MR 0459423 |
| Reference:
|
[16] K. Nomizu: Lie groups and differential geometry.Publ. Math. Soc. Japan, (1956). Zbl 0071.15402, MR 0084166 |
| Reference:
|
[17] P. K. Rasevskii: On the linear representations of differential groups and of Lie groups with a nilpotent radical.(Russian), Trans. Moscow Math. Soc, 6, 337-370 (1957). MR 0094411 |
| Reference:
|
[18] V. V. Wagner: Theory of differential objects and foundations of differential geometry.(Russian). Appendix to Russian transi. О. Weblen and J. Whitehead, Foundations of differential geometry, (Moskva, 1949). |
| . |
