Admissible fiber product preserving bundle functors F on are defined. For every admissible fiber product preserving bundle functor F on all natural operators lifting projectable vector fields to F are classified.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-4, author = {W. M. Mikulski}, title = {The natural operators lifting projectable vector fields to some fiber product preserving bundles}, journal = {Annales Polonici Mathematici}, volume = {81}, year = {2003}, pages = {261-271}, zbl = {1099.58003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-4} }
W. M. Mikulski. The natural operators lifting projectable vector fields to some fiber product preserving bundles. Annales Polonici Mathematici, Tome 81 (2003) pp. 261-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-4/