# Article

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Keywords:
higher order linear connection; natural operator
Summary:
We describe how find all $\mathcal Mf_m$-natural operators $D$ transforming torsion free classical linear connections $\nabla$ on $m$-manifolds $M$ into $r$-th order linear connections $D(\nabla )$ on $M$.
References:
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[3] Kolář I., Michor P. W., Slovák J.: Natural Operations In Differential Geometry. Springer-Verlag Berlin 1993. MR 1202431 | Zbl 0782.53013
[4] Paluszny M., Zajtz A.: Foundations of differential geometry of natural bundles. Lecture Notes Univ. Caracas, 1984.

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