Connections in associated fibre bundles

Ülo Lumiste

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 3, page 421-432
  • ISSN: 0011-4642

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Lumiste, 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

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  1. C. Ehresmann, Les connexions infinitésimales dans un espace fibre différentiable, Colloque de Topologie, Bruxelles 1950, 29-55. (1950) MR0042768
  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). (1966) MR0217223
  3. I. Kolář, Canonical forms on the prolongations of principal fibre bundles, Rev. Roumaine Math. Pures Appl., 16, 1091-1106 (1971). (1971) MR0301668
  4. I. Kolář, On the prolongations of geometric object fields, An. Sti. Univ. §'A1. J. Cuza", laşi, 17, 437-446 (1971). (1971) MR0305278
  5. I. Kolář, Higher order torsions of spaces with Cartan connection, Cahiers Topologie Géom. Différentielle, 12, 137-146(1971). (1971) MR0315619
  6. I. Kolář, On the absolute differentiation of geometric object fields, Ann. Polon. Math., 27, 293-304 (1973). (1973) MR0326593
  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. (1965) 
  8. G. F. Laptev, Structure equations of principal fibre bundles (Russian), Trudy Geom. seminara, 2, 161-178 (1969). (1969) MR0254867
  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). (1966) 
  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). (1973) MR0336631
  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). (1974) 
  12. Ü. Lumiste, Distribution on homogeneous spaces, (Russian), Problemy geometrii (Trudy Geom. seminara), 8, 5-24 (1977). (1977) MR0482587
  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). (1969) MR0253211
  14. M. E. Mayer, 10.1007/BFb0087789, Differential Geom. Methods in Math. Phys., Lect. Notes in Math., No 570 (1977). (1977) Zbl0353.53020MR0462363DOI10.1007/BFb0087789
  15. M. E. Mayer, W. Drechsler, Fibre bundle Techniques in Gauge Theories, Lect. Notes in Phys., No 67 (1977). (1977) MR0459423
  16. K. Nomizu, Lie groups and differential geometry, Publ. Math. Soc. Japan, (1956). (1956) Zbl0071.15402MR0084166
  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). (1957) MR0094411
  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). (1949) 

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