Natural maps depending on reductions of frame bundles
Volume 102 / 2011
Annales Polonici Mathematici 102 (2011), 83-90
MSC: 58A20, 58A32.
DOI: 10.4064/ap102-1-8
Abstract
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.
