On the -equivalence of semiholonomic jets
Archivum Mathematicum (2019)
- Volume: 055, Issue: 4, page 261-264
- ISSN: 0044-8753
Access Full Article
topAbstract
topHow to cite
topDoupovec, 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- Cabras, A., Kolář, I., Prolongation of tangent valued forms, Arch. Math. (Brno) 38 (2002), 243–254. (2002) MR1942654
- 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
- Ehresmann, C., Extension du calcul des jets aux jets non holonomes, CRAS Paris 239 (1954), 1762–1764. (1954) Zbl0057.15603MR0066734
- Ehresmann, C., Sur les connexions d’ordre supériour, Atti del V. Cong. dell Unione Mat. Italiana, Roma Cremonese (1956), 326–328. (1956)
- Kolář, I., 10.4310/jdg/1214431173, J. Differential Geometry 7 (1972), 563–570. (1972) Zbl0273.53025MR0415660DOI10.4310/jdg/1214431173
- Kolář, I., Michor, P.W., Slovák, J., Natural Operations in Differential Geometry, Springer Verlag, 1993. (1993)
- Libermann, P., Prolongations des fibrés principaux et groupoides différentiables, Sémin. Analyse Globale Montréal, 1969, pp. 7–108. (1969) MR0356117
- Libermann, P., Introduction to the theory of semiholonomic jets, Arch. Math. (Brno) 33 (1997), 173–189. (1997) MR1478771
- 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 ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.