All natural operators A transforming a linear vector field X on a vector bundle E into a vector field A(X) on the r-jet prolongation of E are given. Similar results are deduced for the r-jet prolongations and in place of .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-6, author = {W\l odzimierz M. Mikulski}, title = {Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations}, journal = {Annales Polonici Mathematici}, volume = {81}, year = {2003}, pages = {155-170}, zbl = {1083.58003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-6} }
Włodzimierz M. Mikulski. Natural operators lifting linear vector fields from a vector bundle to its r-jet prolongations. Annales Polonici Mathematici, Tome 81 (2003) pp. 155-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap82-2-6/