Algebraic and Geometric Topology 2 (2002), paper no. 13, pages 285-296.

All flat manifolds are cusps of hyperbolic orbifolds

D.D. Long, A.W. Reid

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

Keywords. Flat manifolds, hyperbolic orbifold, cusp cross-sections

AMS subject classification. Primary: 57M50. Secondary: 57R99.

DOI: 10.2140/agt.2002.2.285

E-print: arXiv:math.GT/0204238

Submitted: 6 December 2001. Accepted: 10 April 2002. Published: 18 April 2002.

Notes on file formats

D.D. Long, A.W. Reid
Department of Mathematics, University of California
Santa Barbara, CA 93106, USA
Department of Mathematics, University of Texas
Austin, TX 78712, USA


AGT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to