Geodesic
Higher order linear connections from first order ones
Archivum mathematicum, Tome 43 (2007) no. 4, pp. 285-288 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $M$.
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 $M$.
Classification : 53Cxx, 58A20, 58Axx
Keywords: higher order linear connection; natural operator 
@article{ARM_2007_43_4_a5,
     author = {Mikulski, W. M.},
     title = {Higher order linear connections from first order ones},
     journal = {Archivum mathematicum},
     pages = {285--288},
     year = {2007},
     volume = {43},
     number = {4},
     mrnumber = {2378528},
     zbl = {1164.58001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007_43_4_a5/}
}
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Mikulski, W. M. Higher order linear connections from first order ones. Archivum mathematicum, Tome 43 (2007) no. 4, pp. 285-288. http://geodesic.mathdoc.fr/item/ARM_2007_43_4_a5/