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Article

Kureš, Miroslav
Torsions of connections on tangent bundles of higher order. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 17th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1998. pp. [65]-73
MSC: 53C05, 58A20 | MR 1662727 | Zbl 0938.53013
Summary:
The torsions of a general connection $\Gamma$ on the $r$th-order tangent bundle of a manifold $M$ are defined as the Fr\"olicher-Nijenhuis bracket of $\Gamma$ with the natural affinors. The author deduces the basic properties of these torsions. Then he compares them with the classical torsion of a principal connection on the $r$th-order frame bundle of $M$.
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