On the γ -equivalence of semiholonomic jets

Miroslav Doupovec; Ivan Kolář

Archivum Mathematicum (2019)

  • Volume: 055, Issue: 4, page 261-264
  • ISSN: 0044-8753

Abstract

top
It is well known that the concept of holonomic r -jet can be geometrically characterized in terms of the contact of individual curves. However, this is not true for the semiholonomic r -jets, [5], [8]. In the present paper, we discuss systematically the semiholonomic case.

How to cite

top

Doupovec, Miroslav, and Kolář, Ivan. "On the $\gamma $-equivalence of semiholonomic jets." Archivum Mathematicum 055.4 (2019): 261-264. <http://eudml.org/doc/294639>.

@article{Doupovec2019,
abstract = {It is well known that the concept of holonomic $r$-jet can be geometrically characterized in terms of the contact of individual curves. However, this is not true for the semiholonomic $r$-jets, [5], [8]. In the present paper, we discuss systematically the semiholonomic case.},
author = {Doupovec, Miroslav, Kolář, Ivan},
journal = {Archivum Mathematicum},
keywords = {jet bundle; semiholonomic $r$-jet},
language = {eng},
number = {4},
pages = {261-264},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the $\gamma $-equivalence of semiholonomic jets},
url = {http://eudml.org/doc/294639},
volume = {055},
year = {2019},
}

TY - JOUR
AU - Doupovec, Miroslav
AU - Kolář, Ivan
TI - On the $\gamma $-equivalence of semiholonomic jets
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 4
SP - 261
EP - 264
AB - It is well known that the concept of holonomic $r$-jet can be geometrically characterized in terms of the contact of individual curves. However, this is not true for the semiholonomic $r$-jets, [5], [8]. In the present paper, we discuss systematically the semiholonomic case.
LA - eng
KW - jet bundle; semiholonomic $r$-jet
UR - http://eudml.org/doc/294639
ER -

References

top
  1. Cabras, A., Kolář, I., Prolongation of tangent valued forms, Arch. Math. (Brno) 38 (2002), 243–254. (2002) MR1942654
  2. Doupovec, M., Mikulski, W.M., 10.1016/S0034-4877(07)80141-8, Rep. Math. Phys. 60 (2007), 299–316. (2007) Zbl1160.58001MR2374824DOI10.1016/S0034-4877(07)80141-8
  3. Ehresmann, C., Extension du calcul des jets aux jets non holonomes, CRAS Paris 239 (1954), 1762–1764. (1954) Zbl0057.15603MR0066734
  4. Ehresmann, C., Sur les connexions d’ordre supériour, Atti del V. Cong. dell Unione Mat. Italiana, Roma Cremonese (1956), 326–328. (1956) 
  5. Kolář, I., 10.4310/jdg/1214431173, J. Differential Geometry 7 (1972), 563–570. (1972) Zbl0273.53025MR0415660DOI10.4310/jdg/1214431173
  6. Kolář, I., Michor, P.W., Slovák, J., Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993) 
  7. Libermann, P., Prolongations des fibrés principaux et groupoides différentiables, Sémin. Analyse Globale Montréal, 1969, pp. 7–108. (1969) MR0356117
  8. Libermann, P., Introduction to the theory of semiholonomic jets, Arch. Math. (Brno) 33 (1997), 173–189. (1997) MR1478771
  9. Libermann, P., 10.4064/bc76-0-2, Banach Center Publications 76 (2007), 35–50, Polish Academy of Sciences, Warszawa. (2007) MR2342844DOI10.4064/bc76-0-2

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.