Geodesic
Tangent Dirac structures of higher order
Archivum mathematicum, Tome 47 (2011) no. 1, pp. 17-22 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $L$ be an almost Dirac structure on a manifold $M$. In [2] Theodore James Courant defines the tangent lifting of $L$ on $TM$ and proves that: If $L$ is integrable then the tangent lift is also integrable. In this paper, we generalize this lifting to tangent bundle of higher order.
Let $L$ be an almost Dirac structure on a manifold $M$. In [2] Theodore James Courant defines the tangent lifting of $L$ on $TM$ and proves that: If $L$ is integrable then the tangent lift is also integrable. In this paper, we generalize this lifting to tangent bundle of higher order.
Classification : 53C15, 53C75, 53D05
Keywords: Dirac structure; almost Dirac structure; tangent functor of higher order; natural transformations 
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Kouotchop Wamba, P. M.; Ntyam, A.; Wouafo Kamga, J. Tangent Dirac structures of higher order. Archivum mathematicum, Tome 47 (2011) no. 1, pp. 17-22. http://geodesic.mathdoc.fr/item/ARM_2011_47_1_a1/

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