| Title:
|
Natural transformations of separated jets (English) |
| Author:
|
Doupovec, Miroslav |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
297-303 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Given a map of a product of two manifolds into a third one, one can define its jets of separated orders $r$ and $s$. We study the functor $J$ of separated $(r;s)$-jets. We determine all natural transformations of $J$ into itself and we characterize the canonical exchange $J\rightarrow J^{s;r}$ from the naturality point of view. (English) |
| Keyword:
|
separated jet |
| Keyword:
|
canonical exchange |
| Keyword:
|
natural transformation |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1049.58008 |
| idMR:
|
MR1811174 |
| . |
| Date available:
|
2008-06-06T22:26:22Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107744 |
| . |
| Reference:
|
[1] Kawaguchi M.: Jets infinitésimaux d’ordre séparé supérieur.Proc. Japan Acad. 37 (1961), 18–22. Zbl 0840.58004, MR 0160167 |
| Reference:
|
[2] Kolář I.: On some operations with connections.Math. Nachr. 69 (1975), 297–306. MR 0391157 |
| Reference:
|
[3] Kolář I., Michor P.W., Slovák J.: Natural Operations in Differential Geometry.Springer-Verlag, 1993. MR 1202431 |
| Reference:
|
[4] Kolář I., Vosmanská G.: Natural transformations of higher order tangent bundles and jet spaces.Čas. pěst. mat. 114 (1989), 181–186. MR 1063764 |
| Reference:
|
[5] Libermann P.: Introduction to the theory of semi-holonomic jets.Archivum Math. (Brno) 33 (1997), 173–189. Zbl 0915.58004, MR 1478771 |
| . |
