The minimal volume orientable hyperbolic 2-cusped 3-manifolds
arXiv:0804.0043 · doi:10.1090/S0002-9939-10-10364-5
Abstract
We prove that the Whitehead link complement and the (-2, 3, 8) pretzel link complement are the minimal volume orientable hyperbolic 3-manifolds with two cusps, with volume 3.66... = 4 x Catalan's constant. We use topological arguments to establish the existence of an essential surface which provides a lower bound on volume and strong constraints on the manifolds that realize that lower bound.
10 pages, 5 figures, incorporated referees comments, includes hyperref links
References in corpus (4)
Cited by in corpus (21)
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