Elder siblings and the taming of hyperbolic 3-manifolds.
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Annales Academiae Scientiarum Fennicae. Mathematica
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Freedman, Michael H., McMullen, Curtis T. (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.
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We prove that a closed 3-orbifold that fibers over a hyperbolic polygonal 2-orbifold admits a family of hyperbolic cone structures that are viewed as regenerations of the polygon, provided that the perimeter is minimal.
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