Displaying similar documents to “The vertical prolongation of the projectable connections”

On third order semiholonomic prolongation of a connection

Petr Vašík (2011)

Banach Center Publications

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We recall several different definitions of semiholonomic jet prolongations of a fibered manifold and use them to derive some interesting properties of prolongation of a first order connection to a third order semiholonomic connection.

Reduction theorem for general connections

Josef Janyška (2011)

Annales Polonici Mathematici

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We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.