#### Volume 2, issue 1 (2002)

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All flat manifolds are cusps of hyperbolic orbifolds

### Darren D Long and Alan W Reid

Algebraic & Geometric Topology 2 (2002) 285–296
 arXiv: math.GT/0204238
##### Abstract

We show that all closed flat $n$–manifolds are diffeomorphic to a cusp cross-section in a finite volume hyperbolic $\left(n+1\right)$–orbifold.

##### Keywords
flat manifolds, hyperbolic orbifold, cusp cross-sections
Primary: 57M50
Secondary: 57R99