Lifting adapted connections from foliated manifolds to higher order adapted frame bundles

J. Kurek, and W. M. Mikulski. "Lifting adapted connections from foliated manifolds to higher order adapted frame bundles." Annales Polonici Mathematici 93.2 (2008): 163-169. <http://eudml.org/doc/280769>.

@article{J2008,
abstract = {Let (M,ℱ) be a foliated manifold. We describe all natural operators lifting ℱ-adapted (i.e. projectable in adapted coordinates) classical linear connections ∇ on (M,ℱ) into classical linear connections (∇) on the rth order adapted frame bundle $P^r(M,ℱ)$.},
author = {J. Kurek, W. M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {foliated manifold; (-adapted) classical linear connection; higher order adapted frame bundle; natural operator},
language = {eng},
number = {2},
pages = {163-169},
title = {Lifting adapted connections from foliated manifolds to higher order adapted frame bundles},
url = {http://eudml.org/doc/280769},
volume = {93},
year = {2008},
}

TY - JOUR
AU - J. Kurek
AU - W. M. Mikulski
TI - Lifting adapted connections from foliated manifolds to higher order adapted frame bundles
JO - Annales Polonici Mathematici
PY - 2008
VL - 93
IS - 2
SP - 163
EP - 169
AB - Let (M,ℱ) be a foliated manifold. We describe all natural operators lifting ℱ-adapted (i.e. projectable in adapted coordinates) classical linear connections ∇ on (M,ℱ) into classical linear connections (∇) on the rth order adapted frame bundle $P^r(M,ℱ)$.
LA - eng
KW - foliated manifold; (-adapted) classical linear connection; higher order adapted frame bundle; natural operator
UR - http://eudml.org/doc/280769
ER -