The jet spaces of maps M \rightarrow N and of the sections of a bundle \eta \equiv (E,p,M) are considered,analysing their vector and affine structures. An intrinsic characterization of second order jet spaces is given. When the bundle η is affine or linear,further results are given. Some interesting maps concerning jet spaces are defined. The k-Lie derivable bundles are introduced and the k-Lie derivative is defined: particular cases are connections (k=0), usual Lie-derivaties (k=1) and Lie-derivaties of geometrical objects. Connections on a bundle are analysed and related with the affine structures of jet spaces and tangent spaces.

DOI Code:

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.