All flat manifolds are cusps of hyperbolic orbifolds

Details All flat manifolds are cusps of hyperbolic orbifolds All flat manifolds are cusps of hyperbolic orbifolds

2002-04-18

arxiv.org/abs/math/0204238v1

Algebr. Geom. Topol. 2 (2002) 285-296

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-13.abs.html

Scientific paper

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

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