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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 167–176 (Mi smj2186)  
This article is cited in 2 scientific papers (total in 2 papers)

An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevskiĭ 3-space

D. A. Slutskiyab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University, Novosibirsk
Full-text PDF (274 kB) Citations (2)
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Abstract: We give an example of an infinitesimally nonrigid polyhedron in the Lobachevskiĭ 3-space and construct an infinitesimal flex of that polyhedron such that the volume of the polyhedron is not stationary under the flex.
Keywords: infinitesimally nonrigid polyhedron, Lobachevskiĭ space, hyperbolic space, volume, total mean curvature, infinitesimal flex, Schläfli formula.
Received: 28.01.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 1, Pages 131–138
DOI: https://doi.org/10.1134/S0037446606010149
Bibliographic databases:
Document Type: Article
UDC: 514.113.5+514.132
Language: Russian
Citation: D. A. Slutskiy, “An infinitesimally nonrigid polyhedron with nonstationary volume in the Lobachevskiĭ 3-space”, Sibirsk. Mat. Zh., 52:1 (2011), 167–176; Siberian Math. J., 52:1 (2011), 131–138
Citation in format AMSBIB
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\pages 167--176
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\pages 131--138
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    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
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