Let F:ℱol → ℱℳ be a product preserving bundle functor on the category ℱol of foliated manifolds (M,ℱ) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X ∈ 𝒳(M,ℱ) of foliated manifolds (M,ℱ) into vector fields C(X)∈ 𝒳(F(M,ℱ)) on F(M,ℱ).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-1, author = {Jan Kurek and W\l odzimierz M. Mikulski}, title = {On infinitesimal automorphisms of foliated manifolds}, journal = {Annales Polonici Mathematici}, volume = {92}, year = {2007}, pages = {1-12}, zbl = {1131.58001}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-1} }
Jan Kurek; Włodzimierz M. Mikulski. On infinitesimal automorphisms of foliated manifolds. Annales Polonici Mathematici, Tome 92 (2007) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-1/