On the existence of prolongation of connections
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 4, pp. 1323-1334.

Voir la notice de l'article dans Czech Digital Mathematics Library

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
Mots-clés : bundle functor; connection; natural operator 
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     author = {Doupovec, Miroslav and Mikulski, W{\l}odzimierz M.},
     title = {On the existence of prolongation of connections},
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     pages = {1323--1334},
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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. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_4_a16/