English

Topological and affine structure of complete flat manifolds

Differential Geometry 2007-05-23 v1 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.math/0502449,
  title  = {Topological and affine structure of complete flat manifolds},
  author = {M. Sadowski},
  journal= {arXiv preprint arXiv:math/0502449},
  year   = {2007}
}

Comments

10 pages, Latex2e

R2 v1 2026-07-22T17:15:55.175Z