The constructions of general connections on second jet prolongation

Mariusz Plaszczyk

On the connections naturally induced on the second order frame bundle

Josef Janyška, Ivan Kolář (1986)

Archivum Mathematicum

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Vector fields and connections on $T M$

Anton Dekrét (1990)

Časopis pro pěstování matematiky

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Torsions of connections on higher order cotangent bundles

Miroslav Doupovec, Jan Kurek (2003)

Czechoslovak Mathematical Journal

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By a torsion of a general connection $Γ$ on a fibered manifold $Y \to M$ we understand the Frölicher-Nijenhuis bracket of $Γ$ 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.

Displaying similar documents to “The constructions of general connections on second jet prolongation”

On the connections naturally induced on the second order frame bundle

Vector fields and connections on T M

Torsions of connections on higher order cotangent bundles

Vector fields and connections on $T M$