### Introduzione

#### Abstract

En

The jet spaces of maps(Error rendering LaTeX formula) and of the sections of a bundle(Error rendering LaTeX formula) are considered,analysing their vector and affine structures. An intrinsic characterization of second order jet spaces is given. When the bundle Î· 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(Error rendering LaTeX formula), usual Lie-derivaties(Error rendering LaTeX formula) and Lie-derivaties of geometrical objects. Connections on a bundle are analysed and related with the affine structures of jet spaces and tangent spaces.

The jet spaces of maps(Error rendering LaTeX formula) and of the sections of a bundle(Error rendering LaTeX formula) are considered,analysing their vector and affine structures. An intrinsic characterization of second order jet spaces is given. When the bundle Î· 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(Error rendering LaTeX formula), usual Lie-derivaties(Error rendering LaTeX formula) and Lie-derivaties of geometrical objects. Connections on a bundle are analysed and related with the affine structures of jet spaces and tangent spaces.

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