Geodesic
On the existence of prolongation of connections
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1323-1334 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We classify all bundle functors $G$ admitting natural operators transforming connections on a fibered manifold $Y\rightarrow M$ into connections on $GY\rightarrow M$. Then we solve a similar problem for natural operators transforming connections on $Y\rightarrow M$ into connections on $GY\rightarrow Y$.
We classify all bundle functors $G$ admitting natural operators transforming connections on a fibered manifold $Y\rightarrow M$ into connections on $GY\rightarrow M$. Then we solve a similar problem for natural operators transforming connections on $Y\rightarrow M$ into connections on $GY\rightarrow Y$.
Classification : 58A05, 58A20, 58A32
Keywords: bundle functor; connection; natural operator 
@article{CMJ_2006_56_4_a16,
     author = {Doupovec, Miroslav and Mikulski, W{\l}odzimierz M.},
     title = {On the existence of prolongation of connections},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1323--1334},
     year = {2006},
     volume = {56},
     number = {4},
     mrnumber = {2280811},
     zbl = {1164.58300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_4_a16/}
}
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Doupovec, Miroslav; Mikulski, Włodzimierz M. On the existence of prolongation of connections. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1323-1334. http://geodesic.mathdoc.fr/item/CMJ_2006_56_4_a16/