On Lifts of Double Linear Vector Fields Related To Product Preserving Gauge Bundle Functors on Vector Bundles
Ntyam A and Wankap Nono GF
Published on: 2020-12-27
Abstract
The aim of this paper is to study, for a given product preserving gauge bundle functor on vector bundles, some lifts of double linear vector fields on vector bundles.
Keywords
(double) vector bundle; Double linear vector fields; Weil bundle; (product preserving) gauge bundle functor, LiftIntroduction
Product preserving bundle functors on manifolds still called Weil functors were classified by [1]. Indeed this author has shown in particular that the set of equivalence classes of such functors are in bijection with the set of equivalence classes of Weil algebras. These functors were used by many authors (ex. [2-4]) to present some lifts of various geometric objects (smooth functions, tensor fields, linear connections on manifolds,...)
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