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general connection; classical linear connection; bundle functor; natural operator

References:

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[5] Kolář I., Mikulski W.M.: **Natural lifting of connections to vertical bundles**. Rend. Circ. Math. Palermo (2), Suppl. no. 63 (2000), 97-102. MR 1758084

[6] Mikulski W.M.: **Non-existence of natural operators transforming connections on $Y\to M$ into connections on $FY\to Y$**. Arch. Math. (Brno) 41 1 (2005), 1-4. MR 2142138 | Zbl 1112.58006

[7] Mikulski W.M.: **The natural bundles admitting natural lifting of linear connections**. Demonstratio Math., to appear. MR 2223893 | Zbl 1100.58001

[8] Vondra A.: **Higher-order differential equations represented by connections on prolongations of a fibered manifold**. Extracta Math. 15 3 (2000), 421-512. MR 1825970 | Zbl 0992.34006