Geodesic
On prolongation of higher order connections
Miroslav Doupovec1 ; Włodzimierz M. Mikulski2
1 Department of Mathematics Brno University of Technology FSI VUT Technická 2 616 69 Brno, Czech Republic
2 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 102 (2011) no. 3, pp. 279-292 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We describe all bundle functors $G$ admitting natural operators transforming $r$th order holonomic connections on a fibered manifold $Y\to M$ into $r$th order holonomic connections on $GY\to M$. For second order holonomic connections we classify all such natural operators.
DOI : 10.4064/ap102-3-7
Keywords: describe bundle functors admitting natural operators transforming rth order holonomic connections fibered manifold rth order holonomic connections second order holonomic connections classify natural operators

Miroslav Doupovec 1 ; Włodzimierz M. Mikulski 2

1 Department of Mathematics Brno University of Technology FSI VUT Technická 2 616 69 Brno, Czech Republic
2 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
@article{10_4064_ap102_3_7,
     author = {Miroslav Doupovec and W{\l}odzimierz M. Mikulski},
     title = {On prolongation of higher order connections},
     journal = {Annales Polonici Mathematici},
     pages = {279--292},
     year = {2011},
     volume = {102},
     number = {3},
     doi = {10.4064/ap102-3-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap102-3-7/}
}
TY  - JOUR
AU  - Miroslav Doupovec
AU  - Włodzimierz M. Mikulski
TI  - On prolongation of higher order connections
JO  - Annales Polonici Mathematici
PY  - 2011
SP  - 279
EP  - 292
VL  - 102
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap102-3-7/
DO  - 10.4064/ap102-3-7
LA  - en
ID  - 10_4064_ap102_3_7
ER  - 
%0 Journal Article
%A Miroslav Doupovec
%A Włodzimierz M. Mikulski
%T On prolongation of higher order connections
%J Annales Polonici Mathematici
%D 2011
%P 279-292
%V 102
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap102-3-7/
%R 10.4064/ap102-3-7
%G en
%F 10_4064_ap102_3_7
Miroslav Doupovec; Włodzimierz M. Mikulski. On prolongation of higher order connections. Annales Polonici Mathematici, Tome 102 (2011) no. 3, pp. 279-292. doi: 10.4064/ap102-3-7

Cité par Sources :