| Title:
|
Prolongation of Poisson $2$-form on Weil bundles (English) |
| Author:
|
Moukala, Norbert Mahoungou |
| Author:
|
Bossoto, Basile Guy Richard |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
52 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
91-111 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, $M$ denotes a smooth manifold of dimension $n$, $A$ a Weil algebra and $M^{A}$ the associated Weil bundle. When $(M,\omega _{M})$ is a Poisson manifold with $2$-form $\omega _{M}$, we construct the $2$-Poisson form $\omega _{M^{A}}^{A}$, prolongation on $M^{A}$ of the $2$-Poisson form $\omega _{M}$. We give a necessary and sufficient condition for that $M^{A}$ be an $A$-Poisson manifold. (English) |
| Keyword:
|
Weil bundle |
| Keyword:
|
Weil algebra |
| Keyword:
|
Poisson manifold |
| Keyword:
|
Lie derivative |
| Keyword:
|
Poisson 2-form |
| MSC:
|
17D63 |
| MSC:
|
53D05 |
| MSC:
|
53D17 |
| MSC:
|
58A20 |
| MSC:
|
58A32 |
| idZBL:
|
Zbl 06644061 |
| idMR:
|
MR3535631 |
| DOI:
|
10.5817/AM2016-2-91 |
| . |
| Date available:
|
2016-07-19T11:27:10Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145748 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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