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 $M$.
@article{108072, author = {W\l odzimierz M. Mikulski}, title = {Higher order linear connections from first order ones}, journal = {Archivum Mathematicum}, volume = {043}, year = {2007}, pages = {285-288}, zbl = {1164.58001}, mrnumber = {2378528}, language = {en}, url = {http://dml.mathdoc.fr/item/108072} }
Mikulski, Włodzimierz M. Higher order linear connections from first order ones. Archivum Mathematicum, Tome 043 (2007) pp. 285-288. http://gdmltest.u-ga.fr/item/108072/
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