Geodesic
Gauge natural constructions on higher order principal prolongations
Miroslav Doupovec1 ; W/lodzimierz M. Mikulski2
1Department of Mathematics Brno University of Technology FSI VUT Brno, Technická 2 616 69 Brno, Czech Republic
2Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 87-97
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $W^r_mP$ be a principal prolongation of a principal bundle $P\to M$. We classify all gauge natural operators transforming principal connections on $P\to M$ and $r$th order linear connections on $M$ into general connections on $W^r_mP\to M$. We also describe all geometric constructions of classical linear connections on $W^r_mP$ from principal connections on $P\to M$ and $r$th order linear connections on $M$.
DOI : 10.4064/ap92-1-9
Keywords: principal prolongation principal bundle classify gauge natural operators transforming principal connections rth order linear connections general connections describe geometric constructions classical linear connections principal connections rth order linear connections

Miroslav Doupovec  1   ; W/lodzimierz M. Mikulski  2

1 Department of Mathematics Brno University of Technology FSI VUT Brno, Technická 2 616 69 Brno, Czech Republic
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Krak/ow, Poland 
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Miroslav Doupovec; W/lodzimierz M. Mikulski. Gauge natural constructions on
 higher order principal prolongations. Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 87-97. doi: 10.4064/ap92-1-9

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