Work

Exceptional hyperbolic 3-manifolds

Year: 2015

Type: article

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 \mathrm {log}(3)/2 .

Source: Commentarii Mathematici Helvetici

DOI: 10.4171/cmh/368

Authors: David Gabai, Maria Trnkova

Institutions: Princeton University, California Institute of Technology

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Science Foundation, Grantová Agentura České Republiky

Awards: FRG: Collaborative Research: Mean curvature flow as a tool in low dimensional topology, Riemannian, pseudo-Riemannian and affine differential geometry, Problems in Low Dimensional Geometry and Topology