%0 Journal Article %T Topological and affine structure of complete flat manifolds %A M. Sadowski %J Mathematics %D 2005 %I arXiv %X The 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. %U http://arxiv.org/abs/math/0502449v1