Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K. Atkinson

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

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 languageEnglish (US)
Pages (from-to)1225-1254
Number of pages30
JournalAlgebraic and Geometric Topology
Volume9
Issue number2
DOIs
StatePublished - 2009
Externally publishedYes

Keywords

  • 3-orbifolds
  • Coxeter polyhedra
  • Hyperbolic geometry

Fingerprint Dive into the research topics of 'Volume estimates for equiangular hyperbolic Coxeter polyhedra'. Together they form a unique fingerprint.

Cite this