On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups (Q2493416)
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| Language | Label | Description | Also known as |
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| English | On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups |
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On hyperbolic polyhedra arising as convex cores of quasi-Fuchsian punctured torus groups (English)
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12 June 2006
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In this paper, two families of hyperbolic polyhedra are considered. With one set of face pairings, these polyhedra give the convex core of certain quasi-Fuchsian punctured torus groups. With additional face pairings, they are related to hyperbolic cone manifolds with singularities over certain links. For both families, the formulae relating the dihedral angles, side lengths and the volume of the polyhedron are derived.
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hyperbolic polyhedron
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quasi-Fuchsian group
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hyperbolic cone-manifold
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bendig
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convex core
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