On infinitesimal automorphisms of foliated manifolds
Tom 92 / 2007
Annales Polonici Mathematici 92 (2007), 1-12
MSC: 58A05, 58A20
DOI: 10.4064/ap92-1-1
Streszczenie
Let be a product preserving bundle functor on the category \mathcal Fol of foliated manifolds (M,\mathcal F) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X\in \cal X(M,\mathcal F) of foliated manifolds (M,\mathcal F) into vector fields C(X)\in \cal X(F(M,\mathcal F)) on F(M,\mathcal F).
