| Title:
|
Canonical 1-forms on higher order adapted frame bundles (English) |
| Author:
|
Kurek, Jan |
| Author:
|
Mikulski, Włodzimierz M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
2008 |
| Pages:
|
115-118 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(M,\mathcal{F})$ be a foliated $m+n$-dimensional manifold $M$ with $n$-dimensional foliation $\mathcal{F}$. Let $V$ be a finite dimensional vector space over $\mathbf{R}$. We describe all canonical (${\mathcal{F}}\mbox {\it ol}_{m,n}$-invariant) $V$-valued $1$-forms $\Theta \colon TP^r(M,{\mathcal{F}}) \rightarrow V$ on the $r$-th order adapted frame bundle $P^r(M,\mathcal{F})$ of $(M,\mathcal{F})$. (English) |
| Keyword:
|
foliated manifold |
| Keyword:
|
infinitesimal automorphism |
| Keyword:
|
higher order adapted frame bundle |
| Keyword:
|
canonical $1$-form |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1212.58002 |
| idMR:
|
MR2432848 |
| . |
| Date available:
|
2008-07-24T13:17:49Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116928 |
| . |
| Reference:
|
[1] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Springer Verlag, 1993. MR 1202431 |
| Reference:
|
[2] Wolak, R. A.: Geometric structures on foliated manifolds.Publications del Departamento de Geometria y Topologia, Universidad de Santiago de Compostella 76 (1989). Zbl 0838.53029, MR 1040852 |
| . |
