On special types of nonholonomic $3$-jets
Archivum mathematicum, Tome 48 (2012) no. 5, pp. 339-351 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We deduce a classification of all special types of nonholonomic $3$-jets. In the introductory part, we summarize the basic properties of nonholonomic $r$-jets.
We deduce a classification of all special types of nonholonomic $3$-jets. In the introductory part, we summarize the basic properties of nonholonomic $r$-jets.
DOI : 10.5817/AM2012-5-339
Classification : 58A20, 58A32
Keywords: nonholonomic $r$-jets; nonholonomic $3$-jet category; Weil algebra
@article{10_5817_AM2012_5_339,
     author = {Kol\'a\v{r}, Ivan},
     title = {On special types of nonholonomic $3$-jets},
     journal = {Archivum mathematicum},
     pages = {339--351},
     year = {2012},
     volume = {48},
     number = {5},
     doi = {10.5817/AM2012-5-339},
     mrnumber = {3007617},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2012-5-339/}
}
TY  - JOUR
AU  - Kolář, Ivan
TI  - On special types of nonholonomic $3$-jets
JO  - Archivum mathematicum
PY  - 2012
SP  - 339
EP  - 351
VL  - 48
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2012-5-339/
DO  - 10.5817/AM2012-5-339
LA  - en
ID  - 10_5817_AM2012_5_339
ER  - 
%0 Journal Article
%A Kolář, Ivan
%T On special types of nonholonomic $3$-jets
%J Archivum mathematicum
%D 2012
%P 339-351
%V 48
%N 5
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2012-5-339/
%R 10.5817/AM2012-5-339
%G en
%F 10_5817_AM2012_5_339
Kolář, Ivan. On special types of nonholonomic $3$-jets. Archivum mathematicum, Tome 48 (2012) no. 5, pp. 339-351. doi: 10.5817/AM2012-5-339

[1] Doupovec, M.: On the underlying lower order bundle functors. Czechoslovak Math. J. 55 (2005), 901–916. | DOI | MR | Zbl

[2] Ehresmann, C.: Oeuvres complètes et commentés, Parties I–1 et I–2. Cahiers Topol. Géom. Diff. (Suppl. 1 et 2) 24 (1983). | MR

[3] Kolář, I.: On special types of semiholonomic $3$–jets. to appear in Czechoslovak Math. J.

[4] Kolář, I.: Bundle functors of the jet type. Differential Geom. and Applications (Brno, 1998), 231–237, Masaryk Univ. Brno, 1999. | MR | Zbl

[5] Kolář, I.: A general point of view to nonholonomic jet bundles. Cahiers Topol. Géom. Diff. Catégoriques 44 (2) (2003), 149–160. | MR | Zbl

[6] Kolář, I.: Weil Bundles as Generalized Jet Spaces. Handbook of Global Analysis, Elsevier, Amsterdam, 2008, pp. 625–665. | MR | Zbl

[7] Kolář, I.: On special types of nonholonomic contact elements. Differential Geom. Appl. 29 (2011), 135–140. | DOI | MR | Zbl

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

[9] Kolář, I., Mikulski, W. M.: On the fiber product preserving bundle functors. Differential Geom. Appl. 11 (1999), 105–115. | DOI | MR

[10] Kolář, I., Vosmanská, G.: Natural operations with second order jets. Rend. Circ. Mat. Palermo (2) Suppl. 21 (1989), 179–186. | MR

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

[12] Virsik, G.: Total connections in Lie groupoids. Arch. Math. (Brno) 31 (1995), 183–200. | MR | Zbl

Cité par Sources :