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Sbornik: Mathematics, 2013, Volume 204, Issue 8, Pages 1195–1214
DOI: https://doi.org/10.1070/SM2013v204n08ABEH004336 (Mi sm8149) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A necessary flexibility condition for a nondegenerate suspension in Lobachevsky 3-space

D. A. Slutskiiab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
English version PDF (580 kB) Citations (2) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2013v204n08ABEH004336
Abstract: We show that some combination of the lengths of all edges of the equator of a flexible suspension in Lobachevsky 3-space is equal to zero (each length is taken with a ‘plus’ or ‘minus’ sign in this combination).
Bibliography: 10 titles.
Keywords: flexible polyhedron, hyperbolic space, flexible suspension, Connelly method, equator of a suspension.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-91000-анф
Ministry of Education and Science of the Russian Federation НШ-6613.2010.1
02.740.11.0457
Received: 18.06.2012 and 21.03.2013
Bibliographic databases:
Document Type: Article
UDC: 514.113.5+514.132
MSC: 52C25
Language: English
Original paper language: Russian
Citation: D. A. Slutskii, “A necessary flexibility condition for a nondegenerate suspension in Lobachevsky 3-space”, Sb. Math., 204:8 (2013), 1195–1214
Citation in format AMSBIB
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\paper A necessary flexibility condition for a~nondegenerate suspension in Lobachevsky 3-space
\jour Sb. Math.
\yr 2013
\vol 204
\issue 8
\pages 1195--1214
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Linking options:
  • https://www.mathnet.ru/eng/sm8149
  • https://doi.org/10.1070/SM2013v204n08ABEH004336
  • https://www.mathnet.ru/eng/sm/v204/i8/p117
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:590
    Russian version PDF:150
    English version PDF:16
    References:61
    First page:27
     
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