| Title:
|
Natural transformations transforming vector fields into affinors on the extended $r$-th order tangent bundles (English) |
| Author:
|
Mikulski, Włodzimierz M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
59-70 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A classification of natural transformations transforming vector fields on $n$-manifolds into affinors on the extended $r$-th order tangent bundle over $n$-manifolds is given, provided $n\ge 3$. (English) |
| Keyword:
|
natural bundle |
| Keyword:
|
natural transformation |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0804.58005 |
| idMR:
|
MR1242629 |
| . |
| Date available:
|
2008-06-06T21:23:52Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107467 |
| . |
| Reference:
|
[1] Gancarzewicz, J., Kolář, I.: Natural affinors on the extended $r$-th order tangent bundles.Winter school of Geometry and Physics, Srni 1991, Supl. Rendiconti Circolo Mat. Palermo, in press. |
| Reference:
|
[2] Kolář, I., Slovák, J.: On the geometric functors on manifolds.Proceedings of the Winter school on Geometry and Physics, Srni 1988, Supl, Rendiconti Circolo Mat. Palermo (21) 1989, 223-233. MR 1009575 |
| Reference:
|
[3] Kolář., I., Vosmanská, G.: Natural transformations of higher order tangent bundles and jet spaces.Čas. pěst. mat. 114 (1989), 181-186. MR 1063764 |
| Reference:
|
[4] Mikulski, W. M.: Natural transformations transforming functions and vector fields to functions on some natural bundles.Mathematica Bohemica 117 (1992), 217-223. Zbl 0810.58004, MR 1165899 |
| Reference:
|
[5] Mikulski, W. M.: Some natural operations on vector fields.Rendiconti di Matematica (Roma) VII (12) (1992), 783-803. Zbl 0766.58005, MR 1205977 |
| Reference:
|
[6] Nijenhuis, A.: Natural bundles and their general properties.in Differential Geometry in Honor of K. Yano, Kinokuniya (Tokyo) (1972), 317-343. Zbl 0246.53018, MR 0380862 |
| . |
