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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 703-730 |
| Number of pages | 28 |
| Journal | Commentarii Mathematici Helvetici |
| Volume | 90 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2015 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Hyperbolic three-manifolds
- Length and ortholength spectra
- Snap