| Title:
|
Some properties of tangent Dirac structures of higher order (English) |
| Author:
|
Wamba, P. M. Kouotchop |
| Author:
|
Ntyam, A. |
| Author:
|
Kamga, J. Wouafo |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
233-241 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $M$ be a smooth manifold. The tangent lift of Dirac structure on $M$ was originally studied by T. Courant in [3]. The tangent lift of higher order of Dirac structure $L$ on $M$ has been studied in [10], where tangent Dirac structure of higher order are described locally. In this paper we give an intrinsic construction of tangent Dirac structure of higher order denoted by $L^{r}$ and we study some properties of this Dirac structure. In particular, we study the Lie algebroid and the presymplectic foliation induced by $L^{r}$. (English) |
| Keyword:
|
Dirac structure |
| Keyword:
|
prolongations of vector fields |
| Keyword:
|
prolongations of differential forms |
| Keyword:
|
Dirac structure of higher order |
| Keyword:
|
natural transformations |
| MSC:
|
53C15 |
| MSC:
|
53C75 |
| MSC:
|
53D05 |
| idMR:
|
MR2995874 |
| DOI:
|
10.5817/AM2012-3-233 |
| . |
| Date available:
|
2012-10-03T15:11:37Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142991 |
| . |
| Reference:
|
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| Reference:
|
[2] Courant, T.: Dirac manifolds.Trans. Amer. Math. Soc. 319 (2) (1990), 631–661. MR 0998124, 10.1090/S0002-9947-1990-0998124-1 |
| 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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[9] Kouotchop Wamba, P. M., Ntyam, A., Wouafo Kamga, J.: Tangent lift of higher order of multivector fields and applications.to appear. |
| 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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| . |
