Some hyperbolic 4-manifolds with low volume and number of cusps

Abstract

We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first has minimal volume $v_m=4{\pi }^2/3$ and two cusps. This example has the lowest number of cusps among known minimal volume hyperbolic 4-manifolds. The second has volume $2\cdot v_m$ and one cusp. It has lowest volume among known one-cusped hyperbolic 4-manifolds.

12 pages, 11 figures

Cited by in corpus (2)

• Symmetries of hyperbolic 4-manifolds
• A small cusped hyperbolic 4-manifold