Geodesic
On involutions of iterated bundle functors
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 Kraków, Poland
Colloquium Mathematicum, Tome 106 (2006) no. 1, pp. 135-145 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with $m$-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.
DOI : 10.4064/cm106-1-12
Keywords: introduce concept involution iterated bundle functors study problem existence involution bundle functors defined category fibered manifolds m dimensional bases fibered manifold morphisms covering local diffeomorphisms apply results prolongation 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 Kraków, Poland 
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Miroslav Doupovec; W/lodzimierz M. Mikulski. On involutions of iterated bundle functors. Colloquium Mathematicum, Tome 106 (2006) no. 1, pp. 135-145. doi: 10.4064/cm106-1-12

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