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Injectivity radii of
hyperbolic polyhedra
Joseph D. Masters |
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Vol. 197 (2001), No. 2, 369–382
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Abstract |
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We define the injectivity radius of a Coxeter polyhedron in H3 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... . |
Milestones
Received: 17 September 1997
Revised: 7 March 2000
Published: 1 February 2001
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Authors |
| Joseph D. Masters | |
| Department of Mathematics University of Texas Austin, TX 78712 |
Department of Mathematics MS 136, Rice University Houston TX 77005-1892 |
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