Injectivity radii of hyperbolic polyhedra

Joseph D. Masters

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Injectivity radii of hyperbolic polyhedra

Joseph D. Masters

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Abstract

We define the injectivity radius of a Coxeter polyhedron in H^3 to be half the shortest translation length among hyperbolic/loxodromic elements in the orientation-preserving reflection group. We show that, for finite-volume polyhedra, this number is always less than 2.6339..., and for compact polyhedra it is always less than 2.1225... .

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BibTeX RIS

Joseph D. Masters. 2002-05-26. Injectivity radii of hyperbolic polyhedra. https://arxiv.org/abs/math/9812067

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