Geodesic
On the $\gamma $-equivalence of semiholonomic jets
Archivum mathematicum, Tome 55 (2019) no. 4, pp. 261-264 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.5817/AM2019-4-261
Classification : 58A20, 58A32
Keywords: jet bundle; semiholonomic $r$-jet 
@article{10_5817_AM2019_4_261,
     author = {Doupovec, Miroslav and Kol\'a\v{r}, Ivan},
     title = {On the $\gamma $-equivalence of semiholonomic jets},
     journal = {Archivum mathematicum},
     pages = {261--264},
     year = {2019},
     volume = {55},
     number = {4},
     doi = {10.5817/AM2019-4-261},
     mrnumber = {4038361},
     zbl = {07144741},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-261/}
}
TY  - JOUR
AU  - Doupovec, Miroslav
AU  - Kolář, Ivan
TI  - On the $\gamma $-equivalence of semiholonomic jets
JO  - Archivum mathematicum
PY  - 2019
SP  - 261
EP  - 264
VL  - 55
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-261/
DO  - 10.5817/AM2019-4-261
LA  - en
ID  - 10_5817_AM2019_4_261
ER  - 
%0 Journal Article
%A Doupovec, Miroslav
%A Kolář, Ivan
%T On the $\gamma $-equivalence of semiholonomic jets
%J Archivum mathematicum
%D 2019
%P 261-264
%V 55
%N 4
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2019-4-261/
%R 10.5817/AM2019-4-261
%G en
%F 10_5817_AM2019_4_261
Doupovec, Miroslav; Kolář, Ivan. On the $\gamma $-equivalence of semiholonomic jets. Archivum mathematicum, Tome 55 (2019) no. 4, pp. 261-264. doi: 10.5817/AM2019-4-261

[1] Cabras, A., Kolář, I.: Prolongation of tangent valued forms. Arch. Math. (Brno) 38 (2002), 243–254. | MR

[2] Doupovec, M., Mikulski, W.M.: Holonomic extension of connections and symmetrization of jets. Rep. Math. Phys. 60 (2007), 299–316. | DOI | MR | Zbl

[3] Ehresmann, C.: Extension du calcul des jets aux jets non holonomes. CRAS Paris 239 (1954), 1762–1764. | MR | Zbl

[4] Ehresmann, C.: Sur les connexions d’ordre supériour. Atti del V. Cong. dell Unione Mat. Italiana, Roma Cremonese (1956), 326–328.

[5] Kolář, I.: The contact of spaces with connection. J. Differential Geometry 7 (1972), 563–570. | DOI | MR | Zbl

[6] Kolář, I., Michor, P.W., Slovák, J.: Natural Operations in Differential Geometry. Springer Verlag, 1993.

[7] Libermann, P.: Prolongations des fibrés principaux et groupoides différentiables. Sémin. Analyse Globale Montréal, 1969, pp. 7–108. | MR

[8] Libermann, P.: Introduction to the theory of semiholonomic jets. Arch. Math. (Brno) 33 (1997), 173–189. | MR

[9] Libermann, P.: Charles Ehresmann’s concepts in differential geometry. Banach Center Publications 76 (2007), 35–50, Polish Academy of Sciences, Warszawa. | DOI | MR

Cité par Sources :