| Title:
|
The natural transformations $TT^{(r)}\to TT^{(r)}$ (English) |
| Author:
|
Mikulski, Włodzimierz M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
71-75 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For natural numbers $r\ge 2$ and $n$ a complete classification of natural transformations $A:TT^{(r)}\rightarrow TT^{(r)}$ over $n$-manifolds is given, where $T^{(r)}$ is the linear $r$-tangent bundle functor. (English) |
| Keyword:
|
bundle functors |
| Keyword:
|
natural transformations |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1049.58009 |
| idMR:
|
MR1751615 |
| . |
| Date available:
|
2008-06-06T22:25:17Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107719 |
| . |
| Reference:
|
[1] Gancarzewicz, J., Kolář, I.: Natural affinors on the extended $r$-th order tangent bundles.Suppl. Rendiconti Circolo Mat. Palermo 30 (1993), 95–100. MR 1246623 |
| Reference:
|
[2] Kolář I., Michor P. W., Slovák J.: Natural operations in differential geometry.Springer-Verlag, Berlin 1993. MR 1202431 |
| Reference:
|
[3] Zajtz, A.: On the order of natural operators and liftings.Ann. Polon. Math. 49 (1988), 169–178. MR 0983220 |
| . |
