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Matematicheskie Zametki, 2004, Volume 75, Issue 6, Pages 909–916
DOI: https://doi.org/10.4213/mzm80 (Mi mzm80) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Hyperbolic Coxeter $N$-Polytopes with $n+2$ Facets

P. V. Tumarkin

Independent University of Moscow
Full-text PDF (630 kB) Citations (19)
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DOI: https://doi.org/10.4213/mzm80
Abstract: In this paper, we classify all the hyperbolic noncompact Coxeter polytopes of finite volume whose combinatorial type is either that of a pyramid over a product of two simplices or a product of two simplices of dimension greater than one. Combined with the results of Kaplinskaja (1974) and Esselmann (1996), this completes the classification of hyperbolic Coxeter $N$-polytopes of finite volume with $n+2$ facets.
Received: 15.01.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 6, Pages 848–854
DOI: https://doi.org/10.1023/B:MATN.0000030993.74338.dd
Bibliographic databases:
UDC: 512.817.72
Language: Russian
Citation: P. V. Tumarkin, “Hyperbolic Coxeter $N$-Polytopes with $n+2$ Facets”, Mat. Zametki, 75:6 (2004), 909–916; Math. Notes, 75:6 (2004), 848–854
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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