Volume estimates for equiangular hyperbolic Coxeter polyhedra

Volume estimates for equiangular hyperbolic Coxeter polyhedra
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DOI:
10.2140/agt.2009.9.1225
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发表时间:
2008-04
期刊:
arXiv: Geometric Topology
影响因子:
--
通讯作者:
Christopher K. Atkinson
Christopher K. Atkinson
中科院分区:
其他
文献类型:
--
作者:
Christopher K. Atkinson

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An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to \pi/n for some fixed integer n at least 2. It is a consequence of Andreev's theorem that either n=3 and the polyhedron has all ideal vertices or that n=2. Volume estimates are given for all equiangular hyperbolic Coxeter polyhedra.