Geodesic
On almost polynomial structures from classical linear connections
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 1.

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Let ℳf_m be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on ℳf_m. Let 𝒱 be the category of real vector spaces and linear maps and let  𝒱_m be the category of  m-dimensional real vector spaces and linear isomorphisms. Let w be a polynomial in one variable with real coefficients. We describe all regular covariant functors F𝒱_m→𝒱 admitting ℳf_m-natural operators P̃ transforming classical linear connections ∇ on m-dimensional manifolds M into almost polynomial w-structures  P̃(∇) on F(T)M=⋃_x∈ MF(T_xM).
Keywords: Classical linear connection, almost polynomial structure, Weil bundle, natural operator 
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Bednarska, Anna. On almost polynomial structures from classical linear connections. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 1. http://geodesic.mathdoc.fr/item/AUM_2018_72_1_a2/

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