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

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 → 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.

Higher order jet involution

Miroslav Doupovec, Włodzimierz M. Mikulski (2007)

Czechoslovak Mathematical Journal

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We introduce an exchange natural isomorphism between iterated higher order jet functors depending on a classical linear connection on the base manifold. As an application we study the prolongation of higher order connections to jet bundles.

The constructions of general connections on second jet prolongation

Mariusz Plaszczyk (2014)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We determine all natural operators D transforming general connections Γ on fibred manifolds Y → M and torsion free classical linear connections ∇ on M into general connections D(Γ,∇) on the second order jet prolongation J2Y → M of Y → M.