We present a complete description of all product preserving bundle functors on the category ℱol of all foliated manifolds and their leaf respecting maps in terms of homomorphisms of Weil algebras.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-1-7, author = {W\l odzimierz M. Mikulski}, title = {Product preserving bundles on foliated manifolds}, journal = {Annales Polonici Mathematici}, volume = {83}, year = {2004}, pages = {67-74}, zbl = {1122.58002}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-1-7} }
Włodzimierz M. Mikulski. Product preserving bundles on foliated manifolds. Annales Polonici Mathematici, Tome 83 (2004) pp. 67-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-1-7/