On iteration of higher order jets and prolongation of connections

Miroslav Doupovec, and Włodzimierz M. Mikulski. "On iteration of higher order jets and prolongation of connections." Annales Polonici Mathematici 100.1 (2011): 55-75. <http://eudml.org/doc/280777>.

@article{MiroslavDoupovec2011,
abstract = {We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.},
author = {Miroslav Doupovec, Włodzimierz M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {holonomic jets; semiholonomic jets; nonholonomic jets; connections; iterated jet functors},
language = {eng},
number = {1},
pages = {55-75},
title = {On iteration of higher order jets and prolongation of connections},
url = {http://eudml.org/doc/280777},
volume = {100},
year = {2011},
}

TY - JOUR
AU - Miroslav Doupovec
AU - Włodzimierz M. Mikulski
TI - On iteration of higher order jets and prolongation of connections
JO - Annales Polonici Mathematici
PY - 2011
VL - 100
IS - 1
SP - 55
EP - 75
AB - We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.
LA - eng
KW - holonomic jets; semiholonomic jets; nonholonomic jets; connections; iterated jet functors
UR - http://eudml.org/doc/280777
ER -