Introduzione
Abstract
En
The jet spaces of maps
and of the sections of a bundle
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
, usual Lie-derivaties
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
![M \rightarrow N](http://siba-ese.unile.it/plugins/generic/latexRender/cache/5547827ac751cb42b1b941384a088f03.png)
![\eta \equiv (E,p,M)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/3fc6259c3f0f7865a2a63a827b0d98ed.png)
![(k=0)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/e3960f66691bde12efc787fcd5e07543.png)
![(k=1)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/31b01d0efd287010a5060192b324e596.png)
DOI Code:
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