All flat manifolds are cusps of hyperbolic orbifolds

Abstract

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

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

References in corpus (1)

• On the geometric boundaries of hyperbolic 4-manifolds

Cited by in corpus (6)

• On the geometric boundaries of hyperbolic 4-manifolds
• Hyperbolic four-manifolds with one cusp
• Peripheral separability and cusps of arithmetic hyperbolic orbifolds
• Cusps of Hilbert modular varieties
• Cusps and Commensurability Classes of Hyperbolic 4-Manifolds
• Some cusp-transitive hyperbolic 4-manifolds