arXiv 0804.26822008-04math.GT

Volume estimates for equiangular hyperbolic Coxeter polyhedra

Christopher K. Atkinson

备注：: 27 pages, 11 figures; corrected typo in Theorem 2.4
发表信息：: Algebr. Geom. Topol. 9 (2009) 1225-1254
DOI：: 10.2140/agt.2009.9.1225

英文摘要：

An equiangular hyperbolic Coxeter polyhedron is a hyperbolic polyhedron where all dihedral angles are equal to π/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.

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