Authors find no positive spun triangulations for certain hyperbolic 3-manifolds.
arXiv research
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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 ra…
A closed hyperbolic 3-manifold is exceptional if its shortest geodesic does not have an embedded tube of radius . D. Gabai, R. Meyerhoff and N. Thurston identified seven families of exceptional manifolds in their proof of the homotopy rigidity theorem. They identified the hyperbolic manifold known as Vol3 in …
New lattices in higher rank contain a fixed 3-manifold group with increasing systole.
Optimal inequalities for systole, inradius, and volume in hyperbolic 3-manifolds