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 
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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/

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