Natural maps depending on reductions of frame bundles

Ivan Kolář. "Natural maps depending on reductions of frame bundles." Annales Polonici Mathematici 102.1 (2011): 83-90. <http://eudml.org/doc/280613>.

@article{IvanKolář2011,
abstract = {We clarify how the natural transformations of fiber product preserving bundle functors on $ℱ ℳ_m$ can be constructed by using reductions of the rth order frame bundle of the base, $ℱ ℳ_m$ 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.},
author = {Ivan Kolář},
journal = {Annales Polonici Mathematici},
keywords = {fiber product preserving bundle functor; natural transformation; reductions of frame bundles; nonholonomic jets; classical connection},
language = {eng},
number = {1},
pages = {83-90},
title = {Natural maps depending on reductions of frame bundles},
url = {http://eudml.org/doc/280613},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Ivan Kolář
TI - Natural maps depending on reductions of frame bundles
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 1
SP - 83
EP - 90
AB - We clarify how the natural transformations of fiber product preserving bundle functors on $ℱ ℳ_m$ can be constructed by using reductions of the rth order frame bundle of the base, $ℱ ℳ_m$ 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.
LA - eng
KW - fiber product preserving bundle functor; natural transformation; reductions of frame bundles; nonholonomic jets; classical connection
UR - http://eudml.org/doc/280613
ER -