×

Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles. (English) Zbl 1026.58003

Let \(F\) be a product preserving gauge bundle functor defined on the category of vector bundles. The authors classify all natural operators transforming linear vector fields on a vector bundle \(Y\) to vector fields on \(FY\). The classification is given as a sum of generalized flow operators and absolute operators.

MSC:

58A32 Natural bundles
53A55 Differential invariants (local theory), geometric objects
22E60 Lie algebras of Lie groups
PDF BibTeX XML Cite
Full Text: EuDML EMIS