| Title:
|
On the Weilian prolongations of natural bundles (English) |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
62 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
487-494 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration $F(EM)$ of two natural bundles $E$ and $F$. Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem. (English) |
| Keyword:
|
Weil algebra |
| Keyword:
|
Weil functor |
| Keyword:
|
natural bundle |
| Keyword:
|
gauge natural bundle |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1265.58001 |
| idMR:
|
MR2990188 |
| DOI:
|
10.1007/s10587-012-0023-8 |
| . |
| Date available:
|
2012-06-08T09:47:21Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142840 |
| . |
| Reference:
|
[1] Kolář, I.: Weil Bundles as Generalized Jet Spaces.Handbook of Global Analysis, Elsevier, Amsterdam (2008), 625-664. Zbl 1236.58010, MR 2389643 |
| Reference:
|
[2] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry.Berlin: Springer Verlag (1993). MR 1202431 |
| Reference:
|
[3] Kolář, I., Mikulski, W. M.: On the fiber product preserving bundle functors.Differ. Geom. Appl. 11 (1999), 105-115. MR 1712139, 10.1016/S0926-2245(99)00022-4 |
| Reference:
|
[4] Nijenhuis, A.: Natural bundles and their general properties. Geometric objects revisited.Diff. Geometry, in Honor of Kentaro Yano (1972), 317-334. Zbl 0246.53018, MR 0380862 |
| Reference:
|
[5] Weil, A.: Théorie des points proches sur les variétés différentiables.Colloques internat. Centre nat. Rech. Sci. 52 (1953), 111-117 French. Zbl 0053.24903, MR 0061455 |
| . |
