Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles. (Q2828841)

Let \(F\) be a product-preserving gauge bundle functor. The authors study geometrical constructions (called lifts) transforming some geometric objects on a vector bundle \(E\to M\) into geometric objects of the same type on \(FE\to M\). In particular, they study lifts of sections of the dual vector bundle of a vector bundle, lifts of derivations and lifts of linear connections on vector bundles.