English

All flat manifolds are cusps of hyperbolic orbifolds

Geometric Topology 2014-10-01 v1

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

Cite

@article{arxiv.math/0204238,
  title  = {All flat manifolds are cusps of hyperbolic orbifolds},
  author = {D. D. Long and A. W. Reid},
  journal= {arXiv preprint arXiv:math/0204238},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T16:44:40.788Z