All flat manifolds are cusps of hyperbolic orbifolds

@inproceedings{Long2002AllFM,
  title={All flat manifolds are cusps of hyperbolic orbifolds},
  author={Darren D. Long and Alan W. Reid},
  year={2002}
}
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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References

Publications referenced by this paper.
Showing 1-6 of 6 references

Do almost flat manifolds bound

S. Zdravkovska
Bieberbach Groups and Flat Manifolds , Universitext • 1986

Flat Riemannian manifolds are boundaries

G. Hamrick, D. Royster
J . Diff . Geom . • 1978

Discrete groups of motions of spaces of constant curvature , Geometry II , Encyc

O. V. Shvartsman
Mat . Sb . • 1972

Compact Clifford - Klein forms of symmetric spaces

Harish-Chandra
Topology • 1963

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