Geodesic
Torsions of connections on higher order cotangent bundles
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 949-962.

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By a torsion of a general connection $\Gamma $ on a fibered manifold $Y\rightarrow M$ we understand the Frölicher-Nijenhuis bracket of $\Gamma $ and some canonical tangent valued one-form (affinor) on $Y$. Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.
Classification : 53C05, 58A20, 58A32
Keywords: affinor; general connection; torsion 
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     title = {Torsions of connections on higher order cotangent bundles},
     journal = {Czechoslovak Mathematical Journal},
     pages = {949--962},
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Doupovec, Miroslav; Kurek, Jan. Torsions of connections on higher order cotangent bundles. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 949-962. http://geodesic.mathdoc.fr/item/CMJ_2003__53_4_a13/