2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63546Natural analogs of Lie brackets on affine bundles are studied, based on natural examples from differential geometry and analytical mechanics. In particular, a close relation to Lie algebroids and, by a sort of duality, to affine analogs of Poisson structures is established as well as affine versions of the complete lift of a section and the Cartan exterior calculus.22 pages, Lamstex. The revised version, to appear in Annals of Global Analysis and GeometryDifferential GeometryRings and Algebras53A15 (Primary); 17B66, 17B99, 53D17 (Secondary)text