Displaying similar documents to “Classification of principal connections naturally induced on W 2 P E

Second order connections on some functional bundles

Antonella Cabras, Ivan Kolář (1999)

Archivum Mathematicum

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We study the second order connections in the sense of C. Ehresmann. On a fibered manifold Y , such a connection is a section from Y into the second non-holonomic jet prolongation of Y . Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on Y , which are deduced in the first part of...

Connections of higher order and product preserving functors

Jacek Gancarzewicz, Noureddine Rahmani, Modesto R. Salgado (2002)

Czechoslovak Mathematical Journal

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In this paper we consider a product preserving functor of order r and a connection Γ of order r on a manifold M . We introduce horizontal lifts of tensor fields and linear connections from M to ( M ) with respect to Γ . Our definitions and results generalize the particular cases of the tangent bundle and the tangent bundle of higher order.

Connections on higher order principal prolongations

Vašík, Petr

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Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.