## Algebraic & Geometric Topology

### All flat manifolds are cusps of hyperbolic orbifolds

#### Abstract

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

#### Article information

Source
Algebr. Geom. Topol., Volume 2, Number 1 (2002), 285-296.

Dates
Accepted: 10 April 2002
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882693

Digital Object Identifier
doi:10.2140/agt.2002.2.285

Mathematical Reviews number (MathSciNet)
MR1917053

Zentralblatt MATH identifier
0998.57038

Subjects
Primary: 57M50: Geometric structures on low-dimensional manifolds
Secondary: 57R99: None of the above, but in this section

#### Citation

Long, Darren D; Reid, Alan W. All flat manifolds are cusps of hyperbolic orbifolds. Algebr. Geom. Topol. 2 (2002), no. 1, 285--296. doi:10.2140/agt.2002.2.285. https://projecteuclid.org/euclid.agt/1513882693

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