On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles

Anton Dekrét

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 4, page 653-662
  • ISSN: 0011-4642

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Dekrét, Anton. "On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles." Czechoslovak Mathematical Journal 22.4 (1972): 653-662. <http://eudml.org/doc/12690>.

@article{Dekrét1972,
author = {Dekrét, Anton},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {4},
pages = {653-662},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles},
url = {http://eudml.org/doc/12690},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Dekrét, Anton
TI - On canonical forms on non-holonomic and semi-holonomic prolongations of principal fibre bundles
JO - Czechoslovak Mathematical Journal
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 4
SP - 653
EP - 662
LA - eng
UR - http://eudml.org/doc/12690
ER -

References

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  1. Ch. Ehresmann, Les prolongements d'une variété différentiable, C.R. Acad. Sci., Paris 234 (1952), 1424-1425. Extension du calcul des jets aux jets non-holonomes, CRAS Paris 239 (1954), 1762-64. Les prolongements d'une espace fibre diff'érentiable, CRAS Paris 240 (1955), 1755--57. (1952) Zbl0046.40802MR0066734
  2. Gheorghiev G., Sur les prolongements réguliers des espaces fibres et les groupes de Lie associés, CRAS 266 (1968), 165-68. (1968) Zbl0171.20605MR0231397
  3. Kobayashi S., Canonical forms on frame bundles of higher order contact, Proc. of symposia in pure math., vol. III., A.M.S., 1961, 186-93. (1961) Zbl0109.40601MR0126810
  4. Kolář I., Canonical forms on the prolongation of principal fibre bundles, Revue Roumaine Math. Pur. Apl, T. XVI, N. 7 (1971), 1091-105. (1971) Zbl0254.53012MR0301668
  5. Kolář I., On the torsion of spaces with connection, Czech. Math. Journal 21 (96) 1971, Praha, 124-136. (1971) Zbl0216.18501MR0293531
  6. Kolář I., On the absolute differentiation of geometric object fields, to appear. Zbl0251.53028MR0326593
  7. Laptev G. F., Structure equations of principal fibre bundles, (Rusian), Trudy g. seminara II. 1969, 161-78. (1969) MR0254867
  8. Libermann P., 10.5802/aif.167, Ann. Inst. Fourier, Grenoble 14 (1964), 145-72. (1964) Zbl0126.38201MR0167925DOI10.5802/aif.167
  9. Lumiste U. G., Svjaznosti v odnorodnych rasslojenjach, Mat. sb. 1966, 69, 419-454. (1966) MR0203627
  10. Yuen Ping Cheng, Sur les repères d'ordre supérieur et les connexions linéaires d'ordre supérieur, CRAS Paris Sér. A, 270 (1970) A957-A959. (1970) Zbl0189.52104
  11. Virsík J., A generalised point of view to higher order connections on fibre bundles, Czech. Math. J. 19 (94) (1969), 110-42. (1969) Zbl0183.50603MR0242187
  12. Virsík J., Non-holonomic connections on vector bundles I., Cz. Math. 1. 17 (92) (1967), 108-147. (1967) Zbl0162.53801MR0210021

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