We describe all bundle functors G admitting natural operators transforming rth order holonomic connections on a fibered manifold Y → M into rth order holonomic connections on GY → M. For second order holonomic connections we classify all such natural operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-7, author = {Miroslav Doupovec and W\l odzimierz M. Mikulski}, title = {On prolongation of higher order connections}, journal = {Annales Polonici Mathematici}, volume = {101}, year = {2011}, pages = {279-292}, zbl = {1230.58004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-7} }
Miroslav Doupovec; Włodzimierz M. Mikulski. On prolongation of higher order connections. Annales Polonici Mathematici, Tome 101 (2011) pp. 279-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-7/