| Title:
|
Higher order linear connections from first order ones (English) |
| Author:
|
Mikulski, W. M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
285-288 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We describe how find all $\mathcal Mf_m$-natural operators $D$ transforming torsion free classical linear connections $\nabla $ on $m$-manifolds $M$ into $r$-th order linear connections $D(\nabla )$ on $M$. (English) |
| Keyword:
|
higher order linear connection |
| Keyword:
|
natural operator |
| MSC:
|
53Cxx |
| MSC:
|
58A20 |
| MSC:
|
58Axx |
| idZBL:
|
Zbl 1164.58001 |
| idMR:
|
MR2378528 |
| . |
| Date available:
|
2008-06-06T22:51:38Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108072 |
| . |
| Reference:
|
[1] Kolář I.: Torsion-free connections on higher order frame bundles.in New Development in Differential Geometry, Proceedings (Conference in Debrecen), Kluwer 1996, 233–241. MR 1377287 |
| Reference:
|
[2] Kolář I.: On the torsion-free connections on higher order frame bundles.Publ. Math. Debrecen 67 (3-4), (2005), 373–379. Zbl 1083.53026, MR 2162129 |
| Reference:
|
[3] Kolář I., Michor P. W., Slovák J.: Natural Operations In Differential Geometry.Springer-Verlag Berlin 1993. Zbl 0782.53013, MR 1202431 |
| Reference:
|
[4] Paluszny M., Zajtz A.: Foundations of differential geometry of natural bundles.Lecture Notes Univ. Caracas, 1984. |
| . |
