Displaying similar documents to “Generalized connection on T ( T 2 M ) .”

The constructions of general connections on second jet prolongation

Mariusz Plaszczyk (2014)

Annales UMCS, 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

Geometrical aspects of the covariant dynamics of higher order

D. Opris, I. D. Albu (1998)

Czechoslovak Mathematical Journal

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We present some geometrical aspects of a higher-order jet bundle which is considered a suitable framework for the study of higher-order dynamics in continuous media. We generalize some results obtained by A. Vondra, [7]. These results lead to a description of the geometrical dynamics of higher order generated by regular equations.