# Exceptional hyperbolic 3-manifolds

## Author(s): Gabai, David; Trnkova, Maria

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 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. Publication Date: 2015 Electronic Publication Date: 2015 Citation: Gabai, David, Trnkova, Maria. (2015). Exceptional hyperbolic 3-manifolds. COMMENTARII MATHEMATICI HELVETICI, 90 (703 - 730. doi:10.4171/CMH/368 DOI: doi:10.4171/CMH/368 ISSN: 0010-2571 EISSN: 1420-8946 Pages: 703 - 730 Type of Material: Journal Article Journal/Proceeding Title: COMMENTARII MATHEMATICI HELVETICI Version: Author's manuscript