Abstract
An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to π/ n for some fixed n in Z, n ≥ 2. It is a consequence of Andreev's theorem that either n = 3 and the polyhedron has all ideal vertices or that n = 2. Volume estimates are given for all equiangular hyperbolic Coxeter polyhedra.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1225-1254 |
| Number of pages | 30 |
| Journal | Algebraic and Geometric Topology |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2009 |
| Externally published | Yes |
Keywords
- 3-orbifolds
- Coxeter polyhedra
- Hyperbolic geometry