Geodesic
Gauge natural prolongation of connections
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 /Lojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 95 (2009) no. 1, pp. 37-50
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The main result is the classification of all gauge bundle functors $H$ on the category ${\cal P}{\cal B}_m(G)$ which admit gauge natural operators transforming principal connections on $P\to M$ into general connections on $HP\to M$. We also describe all gauge natural operators of this type. Similar problems are solved for the prolongation of principal connections to $HP\to P$. A special attention is paid to linear connections.
DOI : 10.4064/ap95-1-3
Keywords: main result classification gauge bundle functors category cal cal which admit gauge natural operators transforming principal connections general connections describe gauge natural operators type similar problems solved prolongation principal connections special attention paid 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 /Lojasiewicza 6 30-348 Kraków, Poland 
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Miroslav Doupovec; W/lodzimierz M. Mikulski. Gauge natural prolongation of connections. Annales Polonici Mathematici, Tome 95 (2009) no. 1, pp. 37-50. doi: 10.4064/ap95-1-3

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