Connections in associated fibre bundles
Czechoslovak Mathematical Journal (1981)
- Volume: 31, Issue: 3, page 421-432
- ISSN: 0011-4642
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topLumiste, Ülo. "Connections in associated fibre bundles." Czechoslovak Mathematical Journal 31.3 (1981): 421-432. <http://eudml.org/doc/13271>.
@article{Lumiste1981,
author = {Lumiste, Ülo},
journal = {Czechoslovak Mathematical Journal},
keywords = {connections in associated fibre bundles; higher order curvatures; torsion form},
language = {eng},
number = {3},
pages = {421-432},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Connections in associated fibre bundles},
url = {http://eudml.org/doc/13271},
volume = {31},
year = {1981},
}
TY - JOUR
AU - Lumiste, Ülo
TI - Connections in associated fibre bundles
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 3
SP - 421
EP - 432
LA - eng
KW - connections in associated fibre bundles; higher order curvatures; torsion form
UR - http://eudml.org/doc/13271
ER -
References
top- C. Ehresmann, Les connexions infinitésimales dans un espace fibre différentiable, Colloque de Topologie, Bruxelles 1950, 29-55. (1950) MR0042768
- 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). (1966) MR0217223
- I. Kolář, Canonical forms on the prolongations of principal fibre bundles, Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). (1971) MR0301668
- I. Kolář, On the prolongations of geometric object fields, An. Sti. Univ. §'A1. J. Cuza", laşi, 17, 437-446 (1971). (1971) MR0305278
- I. Kolář, Higher order torsions of spaces with Cartan connection, Cahiers Topologie Géom. Différentielle, 12, 137-146(1971). (1971) MR0315619
- I. Kolář, 10.4064/ap-27-3-293-304, Ann. Polon. Math., 27, 293-304 (1973). (1973) MR0326593DOI10.4064/ap-27-3-293-304
- G. F. Laptev, The group-theoretical method in diiferential geometric investigations (Russian), Trudy 3-go Vsesojuznogo matem. sjezda, t. 2, Moskva 1965, 60-62. (1965)
- G. F. Laptev, Structure equations of principal fibre bundles (Russian), Trudy Geom. seminara, 2, 161-178 (1969). (1969) MR0254867
- 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). (1966)
- 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). (1973) MR0336631
- 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). (1974)
- Ü. Lumiste, Distribution on homogeneous spaces, (Russian), Problemy geometrii (Trudy Geom. seminara), 8, 5-24 (1977). (1977) MR0482587
- V. S. Malakhovski, Differential geometry of manifolds of figures and pairs of figures in homogeneous space (Russian), Trudy Geom. seminara, 2, 179-206 (1969). (1969) MR0253211
- M. E. Mayer, 10.1007/BFb0087789, Differential Geom. Methods in Math. Phys., Lect. Notes in Math., No 570 (1977). (1977) Zbl0353.53020MR0462363DOI10.1007/BFb0087789
- M. E. Mayer, W. Drechsler, Fibre bundle Techniques in Gauge Theories, Lect. Notes in Phys., No 67 (1977). (1977) MR0459423
- K. Nomizu, Lie groups and differential geometry, Publ. Math. Soc. Japan, (1956). (1956) Zbl0071.15402MR0084166
- 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). (1957) MR0094411
- 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). (1949)
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