Geodesic
Some properties of tangent Dirac structures of higher order
Archivum mathematicum, Tome 48 (2012) no. 3, pp. 233-241 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $L^{r}$.
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 $L^{r}$.
DOI : 10.5817/AM2012-3-233
Classification : 53C15, 53C75, 53D05
Keywords: Dirac structure; prolongations of vector fields; prolongations of differential forms; Dirac structure of higher order; natural transformations 
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     title = {Some properties of tangent {Dirac} structures of higher order},
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     pages = {233--241},
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Wamba, P. M. Kouotchop; Ntyam, A.; Kamga, J. Wouafo. Some properties of tangent Dirac structures of higher order. Archivum mathematicum, Tome 48 (2012) no. 3, pp. 233-241. doi: 10.5817/AM2012-3-233

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