| Title:
|
Prolongation of projectable tangent valued forms (English) |
| Author:
|
Cabras, Antonella |
| Author:
|
Kolář, Ivan |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
2002 |
| Pages:
|
243-257 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
First we deduce some general properties of product preserving bundle functors on the category of fibered manifolds. Then we study the prolongation of projectable tangent valued forms with respect to these functors and describe the complete lift of the Frölicher-Nijenhuis bracket. We also present the coordinate formula for composition of semiholonomic jets. (English) |
| Keyword:
|
projectable tangent valued form |
| Keyword:
|
product preserving bundle functor |
| Keyword:
|
jet |
| Keyword:
|
Weil bundle |
| Keyword:
|
Frölicher-Nijenhuis bracket |
| MSC:
|
53C05 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 1090.53031 |
| idMR:
|
MR1942654 |
| . |
| Date available:
|
2008-06-06T22:30:49Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107838 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Ehresmann, C.: Extension du calcul des jets aux jets non holonomes.CRAS Paris, 239 (1954), 1762–1764. Zbl 0057.15603, MR 0066734 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[8] Kolář, I., Modugno, M.: Torsion of connections on some natural bundles.Diff. Geom. and its Appl. 2 (1992), 1–16. MR 1244453 |
| Reference:
|
[9] Kureš, M.: Torsion of connections on tangent bundles of higher order.Supplemento ai Rendiconti Palermo, Série II, No 54 (1997), 65–73. MR 1662727 |
| Reference:
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[10] Mangiarotti, L., Modugno, M.: Graded Lie algebras and connections on a fibered space.J. Math. pures et appl. 63 (1984), 111–120. MR 0776913 |
| Reference:
|
[11] Mikulski, W.: Product preserving bundle functors on fibered manifolds.Archivum Math. (Brno) 32 (1996), 307–316. Zbl 0881.58002, MR 1441401 |
| Reference:
|
[12] Modugno, M.: Differential calculus on fibred manifolds.manuscript, 2000. Zbl 0841.53023 |
| Reference:
|
[13] Tomáš, J.: Natural operators transforming projectable vector fields to product preserving bundles.Supplemento ai Rendiconti Palermo, Série II, No 59 (1999), 181–187. MR 1692269 |
| Reference:
|
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| . |
