Geodesic
On prolongation of higher order connections
Miroslav Doupovec1 ; Włodzimierz M. Mikulski2
1Department of Mathematics Brno University of Technology FSI VUT Technická 2 616 69 Brno, Czech Republic
2Institute 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

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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 
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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

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