Geodesic
On naturality of some construction of connections
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 1.

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Let F be a bundle functor on the category of all fibred manifolds and fibred maps. Let Γ be a general connection in a fibred manifold pr:Y→ M and ∇ be a classical linear connection on M. We prove that the  well-known general connection ℱ(Γ,∇) in FY→ M is canonical with respect to fibred maps and with respect to natural transformations of bundle functors.
Keywords: General connection, classical linear connection, fibred manifold, bundle functor, natural operator 
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Kurek, Jan; Mikulski, Włodzimierz. On naturality of some construction of connections. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 1. http://geodesic.mathdoc.fr/item/AUM_2020_74_1_a3/

[1] Kobayashi, S., Nomizu, K., Foundations of Differential Geometry, Interscience Publishers, New York–London, 1963.

[2] Kolar, I., Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.