Some cusp-transitive hyperbolic 4-manifolds
arXiv:2402.13209 · doi:10.1007/s10711-025-01010-9
Abstract
We realize 4 of the 6 closed orientable flat 3-manifolds as a cusp section of an orientable finite-volume hyperbolic 4-manifold whose symmetry group acts transitively on the set of cusps.
arXiv comment40 pages, 29 figures, 13 tables
References in corpus (7)
- On the geometric boundaries of hyperbolic 4-manifolds
- Hyperbolic four-manifolds with one cusp
- Peripheral separability and cusps of arithmetic hyperbolic orbifolds
- All flat manifolds are cusps of hyperbolic orbifolds
- Hyperbolic four-manifolds, colourings and mutations
- Cusps of hyperbolic 4-manifolds and rational homology spheres
- On the number of ends of rank one locally symmetric spaces