| Title:
|
Natural affinors on higher order cotangent bundle (English) |
| Author:
|
Kurek, Jan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
175-180 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
All natural affinors on the $r$-th order cotangent bundle $T^{r*}M$ are determined. Basic affinors of this type are the identity affinor id of $TT^{r*}M$ and the $s$-th power affinors $Q^s_M : TT^{r*}M \rightarrow VT^{r*}M$ with $s=1, \dots , r$ defined by the $s$-th power transformations $A^{r,r}_s$ of $T^{r*}M$. An arbitrary natural affinor is a linear combination of the basic ones. (English) |
| Keyword:
|
higher order cotangent bundle |
| Keyword:
|
natural affinor |
| MSC:
|
53A55 |
| MSC:
|
58A20 |
| idZBL:
|
Zbl 0782.58007 |
| idMR:
|
MR1222284 |
| . |
| Date available:
|
2008-06-06T21:22:40Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107448 |
| . |
| Reference:
|
[1] Kolář, I., Modugno, M.: Torsions of connections on some natural bundles.Diff. Geom. and Appl. 2 (1992), 1-16. MR 1244453 |
| Reference:
|
[2] Kolář, I., Michor, P., Slovák, J.: Natural Operations in Differential Geometry.(to appear). MR 1202431 |
| Reference:
|
[3] Kurek, J.: Natural transformations of higher order cotangent bundles functor.to appear in Ann. Polon. Math.. MR 1215758 |
| . |
