Geodesic
Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold
Archivum mathematicum, Tome 32 (1996) no. 4, pp. 281-288
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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).
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).
Classification : 53C05, 53C15, 58A20
Keywords: tangent bundle; jet bundle; connection; natural operator. 
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Janyška, Josef; Modugno, Marco. Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold. Archivum mathematicum, Tome 32 (1996) no. 4, pp. 281-288. http://geodesic.mathdoc.fr/item/ARM_1996_32_4_a3/

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