A Generic Margulis Number for Hyperbolic 3-Manifolds
Peter B. Shalen
TL;DR
This paper establishes that 0.29 is a universal Margulis number for nearly all hyperbolic 3-manifolds, with only finitely many exceptions which are closed manifolds.
Contribution
It proves a uniform Margulis number for hyperbolic 3-manifolds, identifying the finite exceptions as closed manifolds.
Findings
0.29 is a Margulis number for all but finitely many hyperbolic 3-manifolds
The finitely many exceptions are all closed manifolds
Provides a uniform bound applicable to a broad class of hyperbolic 3-manifolds
Abstract
We show that 0.29 is a Margulis number for all but finitely many hyperbolic 3-manifolds. The finitely many exceptions are all closed.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Computational Geometry and Mesh Generation