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 is a closed hyperbolic 3-manifold, then either or contains a closed geodesic that is the core of an embedded tube of radius .
Cite this article
David Gabai, Maria Trnkova, Exceptional hyperbolic 3-manifolds. Comment. Math. Helv. 90 (2015), no. 3, pp. 703–730DOI 10.4171/CMH/368