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Izvestiya: Mathematics, 2008, Volume 72, Issue 1, Pages 113–126
DOI: https://doi.org/10.1070/IM2008v072n01ABEH002394 (Mi im852) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On simple ideal hyperbolic Coxeter polytopes

P. V. Tumarkin, A. A. Felikson

Independent University of Moscow
English version PDF (347 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/IM2008v072n01ABEH002394
Abstract: We prove that no simple ideal Coxeter polytope exists in the hyperbolic space Hn of dimension n>8.
Keywords: Coxeter polytope, hyperbolic geometry, ideal polytope, simple polytope.
Received: 21.02.2006
Bibliographic databases:
UDC: 514.132+514.172.45
MSC: 51M20, 20F55, 51F15
Language: English
Original paper language: Russian
Citation: P. V. Tumarkin, A. A. Felikson, “On simple ideal hyperbolic Coxeter polytopes”, Izv. Math., 72:1 (2008), 113–126
Citation in format AMSBIB
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\by P.~V.~Tumarkin, A.~A.~Felikson
\paper On simple ideal hyperbolic Coxeter polytopes
\jour Izv. Math.
\yr 2008
\vol 72
\issue 1
\pages 113--126
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Linking options:
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  • https://www.mathnet.ru/eng/im/v72/i1/p123
    • This publication is cited in the following 2 articles:
    1. Jacquemet M., Eur. J. Comb., 59 (2017), 192–203  crossref  mathscinet  zmath  isi  elib  scopus
    2. Nonaka J., “The Number of Cusps of Right-angled Polyhedra in Hyperbolic Spaces”, Tokyo J. Math., 38:2 (2015), 539–560  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:503
    Russian version PDF:185
    English version PDF:10
    References:80
    First page:3
     
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