A generalized point of view to higher order connections on fibre bundles

Juraj Virsik

Czechoslovak Mathematical Journal (1969)

  • Volume: 19, Issue: 1, page 110-142
  • ISSN: 0011-4642

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Virsik, Juraj. "A generalized point of view to higher order connections on fibre bundles." Czechoslovak Mathematical Journal 19.1 (1969): 110-142. <http://eudml.org/doc/12458>.

@article{Virsik1969,
author = {Virsik, Juraj},
journal = {Czechoslovak Mathematical Journal},
keywords = {differential geometry},
language = {eng},
number = {1},
pages = {110-142},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A generalized point of view to higher order connections on fibre bundles},
url = {http://eudml.org/doc/12458},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Virsik, Juraj
TI - A generalized point of view to higher order connections on fibre bundles
JO - Czechoslovak Mathematical Journal
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 19
IS - 1
SP - 110
EP - 142
LA - eng
KW - differential geometry
UR - http://eudml.org/doc/12458
ER -

References

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  2. В. Cenkl, Infinitesimal connections of higher order, Revue Roumaine Math. Pures et AppL, Tome X (1965), 1277-1280. (1965) Zbl0139.15202MR0205182
  3. Ch. Ehresmann, Les connexions infinitésimales dans un espace fibre diff"érentiable, Colloque de topologie, Bruxelles 1950, 29 - 55. (1950) MR0042768
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  8. Ch. Ehresmann, Prolongements des catégories dijfférentiables, Topologie et Géom. Diff., Vol. VI (1964), 1-8. (1964) MR0179225
  9. E. Feldmann, 10.1090/S0002-9904-1963-10988-X, Bull. Amer. Math. Soc, 69 (1963), 693-698. (1963) MR0151986DOI10.1090/S0002-9904-1963-10988-X
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  11. P. Libermann, Calcul tensoriel et connexions d'ordre supérieur, Anais da Acad. Bras, de Ciencias, 37 (1965), 17-29. (1965) Zbl0136.17401MR0200847
  12. P. Libermann, 10.5802/aif.167, Ann. Inst. Fourier, Grenoble, 14 (1964), 145-172. (1964) Zbl0126.38201MR0167925DOI10.5802/aif.167
  13. P. Libermann, Surconnexions, С. R. Acad. Sci. Paris, 258 (1964), 6327-6330; 261 (1965), 2801-2804. (1964) Zbl0127.12802
  14. K. Nomizu, Lie Groups and Differential Geometry, Publ. Math. Soc. Japan 2 (1956). (1956) Zbl0071.15402MR0084166
  15. W. Pohl, Connexions in differential geometry of higher order, (polycopied notes), Stanford University, 1963. (1963) MR0154293
  16. W. Pohl, 10.1090/S0002-9947-1966-0203628-1, Transactions Amer. Math. Soc, 125 (1966), 310-325. (1966) Zbl0168.19302MR0203628DOI10.1090/S0002-9947-1966-0203628-1
  17. P. Ver Eecke, Sur les connexions d'éléments de contact, Thèses, Topologie et Géom. Diff., 1962. (1962) 
  18. J. Virsik, Non-holonomic connections on vector bundles, Czech. Math. J. 17 (1967), I: 108-147; II: 200-224. (1967) Zbl0162.53802
  19. J. Virsik, Über Zusammenhänge höherer Ordnungen in Vektorraumbündeln, Math. Nachrichten 34 (1967), 219-227. (1967) Zbl0149.39901MR0216416

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