2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110320It is known that the Standard Model describing all of the currently known elementary particles is based on the $U(1)\times SU(2)\times SU(3)$ symmetry. In order to implement this symmetry on the ground of a non-flat space-time manifold one should introduce three special bundles. Some aspects of the mathematical theory of these bundles are studied in this paper.AmSTeX, 8 pages, amsppt styleDifferential GeometryAstrophysicsGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryMathematical PhysicsQuantum Physics81T20, 81V05, 81V10, 81V15, 53A45text