Geodesic
All flat manifolds are cusps of hyperbolic orbifolds
Long, Darren D1 ; Reid, Alan W2
1Department of Mathematics, University of California, Santa Barbara, CA 93106, USA
2Department of Mathematics, University of Texas, Austin, TX 78712, USA
Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 285-296
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We show that all closed flat n–manifolds are diffeomorphic to a cusp cross-section in a finite volume hyperbolic (n+1)–orbifold.

DOI : 10.2140/agt.2002.2.285
Keywords: flat manifolds, hyperbolic orbifold, cusp cross-sections

Long, Darren D  1   ; Reid, Alan W  2

1 Department of Mathematics, University of California, Santa Barbara, CA 93106, USA
2 Department of Mathematics, University of Texas, Austin, TX 78712, USA 
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Long, Darren D; Reid, Alan W. All flat manifolds are cusps of hyperbolic orbifolds. Algebraic and Geometric Topology, Tome 2 (2002) no. 1, pp. 285-296. doi: 10.2140/agt.2002.2.285

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