Topological and affine structure of complete flat manifolds

Details Topological and affine structure of complete flat manifolds Topological and affine structure of complete flat manifolds

2005-02-22

arxiv.org/abs/math/0502449v1

Mathematics

Differential Geometry

10 pages, Latex2e

Scientific paper

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.

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