Hyperbolic 5-manifolds that fiber over $$S^1$$

Author:

Italiano Giovanni,Martelli Bruno,Migliorini Matteo

Abstract

AbstractWe exhibit some finite-volume cusped hyperbolic 5-manifolds that fiber over the circle. These include the smallest hyperbolic 5-manifold known, discovered by Ratcliffe and Tschantz. As a consequence, we build a finite type subgroup of a hyperbolic group that is not hyperbolic.

Funder

Università di Pisa

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

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