Geodesic
Natural maps depending on reductions of frame bundles
Ivan Kolář1
1 Institute of Mathematics and Statistics Masaryk University Kotlářská 2 CZ 611 37 Brno, Czech Republic
Annales Polonici Mathematici, Tome 102 (2011) no. 1, pp. 83-90

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We clarify how the natural transformations of fiber product preserving bundle functors on $\mathcal F \mathcal M_m$ can be constructed by using reductions of the $r$th order frame bundle of the base, $\mathcal F \mathcal M_m$ being the category of fibered manifolds with $m$-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. The iteration of two general $r$-jet functors is discussed in detail.
DOI : 10.4064/ap102-1-8
Keywords: clarify natural transformations fiber product preserving bundle functors mathcal mathcal constructed using reductions rth order frame bundle base mathcal mathcal being category fibered manifolds m dimensional bases fiber preserving maps local diffeomorphisms base maps iteration general r jet functors discussed detail

Ivan Kolář 1

1 Institute of Mathematics and Statistics Masaryk University Kotlářská 2 CZ 611 37 Brno, Czech Republic 
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Ivan Kolář. Natural maps depending on reductions of frame bundles. Annales Polonici Mathematici, Tome 102 (2011) no. 1, pp. 83-90. doi: 10.4064/ap102-1-8

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