Natural lifts of classical linear connections to the cotangent bundle
Kureš, Miroslav
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Displaying similar documents to “Tensor fields and connections on cross-sections in the frame bundle of second order of a parallelizable manifold.”
Natural lifts of classical linear connections to the cotangent bundle
On horizontal and complete lifts from a manifold with -structure to its cotangent bundle.
Das, Lovejoy S., Nivas, Ram, Nath Pathak, Virendra (2005)
International Journal of Mathematics and Mathematical Sciences
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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).
Natural liftings of -tensor fields to the tangent bundle
Miroslav Doupovec (1994)
Archivum Mathematicum
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We determine all first order natural operators transforming –tensor fields on a manifold into –tensor fields on .