| Title:
|
Jet manifold associated to a Weil bundle (English) |
| Author:
|
Alonso, Ricardo J. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
195-199 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Given a Weil algebra $A$ and a smooth manifold $M$, we prove that the set $J^AM$ of kernels of regular $A$-points of $M$, $\check{M}^A$, has a differentiable manifold structure and $\check{M}^A\longrightarrow J^AM$ is a principal fiber bundle. (English) |
| Keyword:
|
jet |
| Keyword:
|
Weil bundle |
| Keyword:
|
Grassmann manifold |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1049.58007 |
| idMR:
|
MR1785036 |
| . |
| Date available:
|
2008-06-06T22:25:47Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107731 |
| . |
| Reference:
|
[1] Kolář I.: Affine structure on Weil bundles.To appear in Nagoya Math J. Zbl 0961.58002, MR 1766571 |
| Reference:
|
[2] Kolář I., Michor P. W., Slovák J.: Natural operations in differential geometry.Springer-Verlag, New York, 1993. Zbl 0782.53013, MR 1202431 |
| Reference:
|
[3] Muñoz, J, Muriel F. J., and Rodríguez J.: Weil bundles and jet spaces.To appear in Czech. Math. J. |
| Reference:
|
[4] Weil A.: Théorie des points proches sur les variétés différentiables.Colloque de Géometrie Différentielle, C.N.R.S. (1953), 111–117. Zbl 0053.24903, MR 0061455 |
| . |
