| Title:
|
On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles (English) |
| Author:
|
Ntyam, A. |
| Author:
|
Wankap Nono, G. F. |
| Author:
|
Ndombol, Bitjong |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
50 |
| Issue:
|
3 |
| Year:
|
2014 |
| Pages:
|
161-169 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms. (English) |
| Keyword:
|
projectable vector field |
| Keyword:
|
Weil bundle |
| Keyword:
|
product preserving gauge bundle functor |
| Keyword:
|
lift |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 06487004 |
| idMR:
|
MR3263658 |
| DOI:
|
10.5817/AM2014-3-161 |
| . |
| Date available:
|
2014-09-20T17:10:33Z |
| Last updated:
|
2016-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143924 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[4] Kolář, I.: On the natural operators on vector fields.Ann. Global Anal. Geom. 6 (1988), 119–117. Zbl 0678.58003, MR 0982760, 10.1007/BF00133034 |
| Reference:
|
[5] Kolář, I., Modugno, M.: Torsions of connections on some natural bundles.Differential Geom. Appl. 2 (1992), 1–16. Zbl 0783.53021, MR 1244453, 10.1016/0926-2245(92)90006-9 |
| Reference:
|
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| Reference:
|
[7] Mikulski, W.M.: Product preserving gauge bundle functors on vector bundles.Colloq. Math. 90 (2001), no. 2, 277–285. Zbl 0988.58001, MR 1876848, 10.4064/cm90-2-7 |
| Reference:
|
[8] Ntyam, A., Mba, A.: On natural vector bundle morphisms $T^{A}\circ \otimes _{s}^{q}\rightarrow \otimes _{s}^{q}\circ T^{A}$ over $\operatorname{id}_{T^{A}}$.Ann. Polon. Math. 96 (2009), no. 3, 295–301. MR 2534175 |
| Reference:
|
[9] Ntyam, A., Wouafo, K.J.: New versions of curvature and torsion formulas for the complete lifting of a linear connection to Weil bundles.Ann. Polon. Math. 82 (2003), no. 3, 133–140. Zbl 1081.58002, MR 2040808, 10.4064/ap82-3-4 |
| . |
