On simple ideal hyperbolic Coxeter polytopes

Details On simple ideal hyperbolic Coxeter polytopes On simple ideal hyperbolic Coxeter polytopes

2005-02-19

arxiv.org/abs/math/0502413v2

Mathematics

Metric Geometry

v2: the paper is slightly reorganized; many typos and some errors corrected. 15 pages, to appear in Izv. Math

Scientific paper

A polytope in the hyperbolic space $\H^n$ is called an {\it ideal polytope}
if all its vertices belong to the boundary of $\H^n$. We prove that no simple
ideal Coxeter polytope exist in $\H^n$ for $n>8$.

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