Abstract
We show that (finite volume) right-angled Coxeter polyhedra may exist in hyperbolic spaces only in dimension at most 12. This is a slight improvement on a theorem of Potyagailo and Vinberg stated in Potyagailo and Vinberg (Comment Math Helv 80:1–12, 2005).
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Dufour, G. Notes on right-angled Coxeter polyhedra in hyperbolic spaces. Geom Dedicata 147, 277–282 (2010). https://doi.org/10.1007/s10711-009-9454-2
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DOI: https://doi.org/10.1007/s10711-009-9454-2