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

Voir la notice de l'article provenant de la source 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
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},
     publisher = {mathdoc},
     volume = {56},
     number = {4},
     year = {2006},
     mrnumber = {2280811},
     zbl = {1164.58300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a16/}
}
TY  - JOUR
AU  - Doupovec, Miroslav
AU  - Mikulski, Włodzimierz M.
TI  - On the existence of prolongation of connections
JO  - Czechoslovak Mathematical Journal
PY  - 2006
SP  - 1323
EP  - 1334
VL  - 56
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a16/
LA  - en
ID  - CMJ_2006__56_4_a16
ER  - 
%0 Journal Article
%A Doupovec, Miroslav
%A Mikulski, Włodzimierz M.
%T On the existence of prolongation of connections
%J Czechoslovak Mathematical Journal
%D 2006
%P 1323-1334
%V 56
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMJ_2006__56_4_a16/
%G en
%F CMJ_2006__56_4_a16
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/