Finite volume method

Hyperbolic manifold

Engineering

Pure mathematics

Stable manifold

Hyperbolic function

Hyperbolic equilibrium point

Mechanical engineering

Physics

Organic chemistry

Mathematics

Hyperbolic 3-manifold

Relatively hyperbolic group

Hyperbolic group

Mathematical analysis

Fiber

Chemistry

Manifold (fluid mechanics)

Hyperbolic set

Mechanics

Inventiones mathematicae

We 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.

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