2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74273The results of the paper concern the topological structure of complete riemannian manifolds with cyclic holonomy groups and low-dimensional orientable complete flat manifolds. We also discuss related results such as the affine classification of orientable complete flat 4-manifolds, an algebraic criterion of an affine equivalence, the relationship between holonomy homomorphisms and some algebraic and geometric invariants.10 pages, Latex2eDifferential GeometryAlgebraic Topology53C20 (Primary} 5302, 53C10, 57R22 (Secondary)text