Injectivity radii of hyperbolic polyhedra

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dc.creatorMasters, Joseph D.
dc.date1998-12-11
dc.date2002-05-26
dc.date.accessioned2026-07-07T05:27:12Z
dc.date.available2026-07-07T05:27:12Z
dc.descriptionWe 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... .
dc.description14 pages, 9 figures. Replaced with published version
dc.identifierhttps://arxiv.org/abs/math/9812067
dc.identifierhttp://arxiv.org/abs/math/9812067
dc.identifierPacific J. Math. 197 (2001), no. 2, 369--382
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77832
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject57M50(primary); 20F55, 22E40(secondary)
dc.titleInjectivity radii of hyperbolic polyhedra
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