2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167880Within the smooth category, an intertwining is exhibited between the global rigidity of irreducible higher rank abelian Anosov actions on the n-torus and the classification of equilibrium-free flows on the n-torus that possess nontrivial generalized symmetries.Title of paper updated to appropriately reflect the history of the conjecture; 14 pagesDynamical SystemsNumber Theory37C55; 37C85; 11R99text