| Title:
|
On special types of nonholonomic $3$-jets (English) |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
5 |
| Year:
|
2012 |
| Pages:
|
339-351 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
nonholonomic $r$-jets |
| Keyword:
|
nonholonomic $3$-jet category |
| Keyword:
|
Weil algebra |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idMR:
|
MR3007617 |
| DOI:
|
10.5817/AM2012-5-339 |
| . |
| Date available:
|
2012-12-17T13:59:57Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143110 |
| . |
| Reference:
|
[1] Doupovec, M.: On the underlying lower order bundle functors.Czechoslovak Math. J. 55 (2005), 901–916. Zbl 1081.58001, MR 2184371, 10.1007/s10587-005-0074-1 |
| Reference:
|
[2] Ehresmann, C.: Oeuvres complètes et commentés, Parties I–1 et I–2.Cahiers Topol. Géom. Diff. (Suppl. 1 et 2) 24 (1983). MR 0794193 |
| Reference:
|
[3] Kolář, I.: On special types of semiholonomic $3$–jets.to appear in Czechoslovak Math. J. |
| Reference:
|
[4] Kolář, I.: Bundle functors of the jet type.Differential Geom. and Applications (Brno, 1998), 231–237, Masaryk Univ. Brno, 1999. Zbl 0951.58003, MR 1708910 |
| Reference:
|
[5] Kolář, I.: A general point of view to nonholonomic jet bundles.Cahiers Topol. Géom. Diff. Catégoriques 44 (2) (2003), 149–160. Zbl 1048.58002, MR 1985835 |
| Reference:
|
[6] Kolář, I.: Weil Bundles as Generalized Jet Spaces.Handbook of Global Analysis, Elsevier, Amsterdam, 2008, pp. 625–665. Zbl 1236.58010, MR 2389643 |
| Reference:
|
[7] Kolář, I.: On special types of nonholonomic contact elements.Differential Geom. Appl. 29 (2011), 135–140. Zbl 1229.58005, MR 2831821, 10.1016/j.difgeo.2011.03.007 |
| Reference:
|
[8] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer Verlag, 1993. MR 1202431 |
| Reference:
|
[9] Kolář, I., Mikulski, W. M.: On the fiber product preserving bundle functors.Differential Geom. Appl. 11 (1999), 105–115. MR 1712139, 10.1016/S0926-2245(99)00022-4 |
| Reference:
|
[10] Kolář, I., Vosmanská, G.: Natural operations with second order jets.Rend. Circ. Mat. Palermo (2) Suppl. 21 (1989), 179–186. MR 0920854 |
| Reference:
|
[11] Libermann, P.: Introduction to the theory of semi-holonomic jets.Arch. Math. (Brno) 33 (1997), 173–189. MR 1478771 |
| Reference:
|
[12] Virsik, G.: Total connections in Lie groupoids.Arch. Math. (Brno) 31 (1995), 183–200. Zbl 0841.53024, MR 1368257 |
| . |
