English

Exceptional hyperbolic 3-manifolds

Geometric Topology 2018-06-22 v1

Abstract

We correct and complete a conjecture of D. Gabai, R. Meyerhoff and N. Thurston on the classification and properties of thin tubed closed hyperbolic 3-manifolds. We additionally show that if N is a closed hyperbolic 3-manifold, then either N=Vol3 or N contains a closed geodesic that is the core of an embedded tube of radius log(3)/2.

Keywords

Cite

@article{arxiv.1305.4565,
  title  = {Exceptional hyperbolic 3-manifolds},
  author = {David Gabai and Maria Trnkova},
  journal= {arXiv preprint arXiv:1305.4565},
  year   = {2018}
}

Comments

22 pages, 2 figures

R2 v1 2026-06-22T00:19:15.082Z