Lifting of projectable vector fields to vertical fiber product preserving vector bundles

W. M. Mikulski

Address.
Institute of Mathematics, Jagiellonian University, Krakow, Reymonta 4, Poland

E-mail. mikulski@im.uj.edu.pl

Abstract.
We classify all natural operators liftink projectable vector fields from fibered manifolds to vector fields on vertical fiber product preserving vector bundles. We explain this result for some more known such bundles.

AMSclassification. 58A05, 58A20.

Keywords. Fibered manifolds, vector bundle functors, natural operators, natural transformation.