Let be the r-jet prolongation of the cotangent bundle of an n-dimensional manifold M and let be the dual vector bundle. For natural numbers r and n, a complete classification of all linear natural operators lifting 1-forms from M to 1-forms on is given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-1-5, author = {W\l odzimierz M. Mikulski}, title = {Liftings of 1-forms to $(J^{r}T*)*$ }, journal = {Colloquium Mathematicae}, volume = {91}, year = {2002}, pages = {69-77}, zbl = {1013.58002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-1-5} }
Włodzimierz M. Mikulski. Liftings of 1-forms to $(J^{r}T*)*$ . Colloquium Mathematicae, Tome 91 (2002) pp. 69-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm91-1-5/