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).
Classification : 53C05, 53C15, 58A20
Keywords: tangent bundle; jet bundle; connection; natural operator. 
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     author = {Jany\v{s}ka, Josef and Modugno, Marco},
     title = {Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold},
     journal = {Archivum mathematicum},
     pages = {281--288},
     publisher = {mathdoc},
     volume = {32},
     number = {4},
     year = {1996},
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     zbl = {0881.53015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_4_a3/}
}
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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/