On the connections naturally induced on the second order frame bundle

Josef Janyška; Ivan Kolář

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Displaying similar documents to “On the connections naturally induced on the second order frame bundle”

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.

On connections on the second iterated tangent bundle

Anton Dekrét (1987)

Archivum Mathematicum

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Connections in 2-fibered manifolds

Ivan Kolář (1981)

Archivum Mathematicum

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A complement to the paper “On the Kolář connection” [Arch. Math. (Brno) 49 (2013), 223–240]

W.M. Mikulski (2015)

Archivum Mathematicum

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Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold

Josef Janyška, Marco Modugno (1996)

Archivum Mathematicum

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All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).