This article is cited in 2 papers

On simple ideal hyperbolic Coxeter polytopes

P. V. Tumarkin, A. A. Felikson

Independent University of Moscow

Abstract: We prove that no simple ideal Coxeter polytope exists in the hyperbolic space $\mathbb H^n$ of dimension $n>8$.

Keywords: Coxeter polytope, hyperbolic geometry, ideal polytope, simple polytope.

UDC: 514.132+514.172.45

MSC: 51M20, 20F55, 51F15

Received: 21.02.2006

DOI: 10.4213/im852

 English version: Izvestiya: Mathematics, 2008, 72:1, 113–126

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