On $d$-dimensional compact hyperbolic Coxeter polytopes with $d+4$ facets
نویسندگان
چکیده
منابع مشابه
ON d-DIMENSIONAL COMPACT HYPERBOLIC COXETER POLYTOPES WITH d+ 4 FACETS
We prove that there are no compact Coxeter polytopes with d+4 facets in a hyperbolic space of dimension d > 7. This estimate is sharp: examples of such polytopes in dimensions d ≤ 7 were found by V. O. Bugaenko in 1984. We also show that in dimension 7 there is a unique polytope with 11 facets.
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ژورنال
عنوان ژورنال: Transactions of the Moscow Mathematical Society
سال: 2008
ISSN: 0077-1554,1547-738X
DOI: 10.1090/s0077-1554-08-00172-6