Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
References:
PDF
HTML
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
\Bibitem{TumFel08}
\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
\mathnet{http://mi.mathnet.ru/eng/im852}
\crossref{https://doi.org/10.1070/IM2008v072n01ABEH002394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2394974}
\zmath{https://zbmath.org/?q=an:1163.51015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000254303700006}
\elib{https://elibrary.ru/item.asp?id=10336924}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41549159722}
Linking options:
  • https://www.mathnet.ru/eng/im852
  • https://doi.org/10.1070/IM2008v072n01ABEH002394
  • 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:508
    Russian version PDF:185
    English version PDF:11
    References:80
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025