English

The smallest Haken hyperbolic polyhedra

Geometric Topology 2012-01-26 v2

Abstract

We determine the lowest volume hyperbolic Coxeter polyhedron whose corresponding hyperbolic polyhedral 3-orbifold contains an essential 2-suborbifold, up to a canonical decomposition along essential hyperbolic triangle 2-suborbifolds.

Cite

@article{arxiv.1108.4621,
  title  = {The smallest Haken hyperbolic polyhedra},
  author = {Christopher K. Atkinson and Shawn Rafalski},
  journal= {arXiv preprint arXiv:1108.4621},
  year   = {2012}
}

Comments

15 pages, 5 figures, final version to appear

R2 v1 2026-06-21T18:54:12.228Z