Displaying similar documents to “Nonlinear connections and spinor geometry.”

Torsions of connections on tangent bundles of higher order

Kureš, Miroslav

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The torsions of a general connection Γ on the r th-order tangent bundle of a manifold M are defined as the Frölicher-Nijenhuis bracket of Γ 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 .