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

How to cite

top

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

top
  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) MR0301668
  5. Kolář I., On the torsion of spaces with connection, Czech. Math. Journal 21 (96) 1971, Praha, 124-136. (1971) MR0293531
  6. Kolář I., On the absolute differentiation of geometric object fields, to appear. MR0326593
  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) 
  11. Virsík J., A generalised point of view to higher order connections on fibre bundles, Czech. Math. J. 19 (94) (1969), 110-42. (1969) MR0242187
  12. Virsík J., Non-holonomic connections on vector bundles I., Cz. Math. 1. 17 (92) (1967), 108-147. (1967) MR0210021

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.