| Title:
|
Natural affinors on $r$-jet prolongation of the tangent bundle (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
321-328 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We deduce that for $n\ge 2$ and $r\ge 1$, every natural affinor on $J^rT$ over $n$-manifolds is of the form $\lambda \delta $ for a real number $\lambda $, where $\delta $ is the identity affinor on $J^rT$. (English) |
| Keyword:
|
natural affinor |
| Keyword:
|
jet prolongations |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0915.58006 |
| idMR:
|
MR1645340 |
| . |
| Date available:
|
2009-02-17T10:12:22Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107657 |
| . |
| Reference:
|
[1] Doupovec, M.: Natural transformations between $TTT^*M$ and $TT^*TM$.Czechoslovak Math. J. 43 (118) 1993, 599-613. Zbl 0806.53024, MR 1258423 |
| Reference:
|
[2] Gancarzewicz, J., Kolář, I.: Natural affinors on the extended $r$-th order tangent bundles.Suppl. Rendiconti Circolo Mat. Palermo, 1993. MR 1246623 |
| Reference:
|
[3] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer Verlag, Berlin, 1993. MR 1202431 |
| Reference:
|
[4] Kolář, I., Modugno, M.: Torsion of connections on some natural bundles.Diff. Geom. and Appl. 2 (1992), 1-16. MR 1244453 |
| Reference:
|
[5] Kurek, J.: Natural affinors on higher order cotangent bundles.Arch. Math. (Brno) 28 (1992), 175-180. MR 1222284 |
| Reference:
|
[6] Zajtz, A.: On the order of natural operators and liftings.Ann. Polon. Math. 49 (1988), 169-178. MR 0983220 |
| . |
