This article is cited in 2 papers

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

D. A. Slutskii<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

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.

UDC: 514.113.5+514.132

MSC: 52C25

Received: 18.06.2012 and 21.03.2013

DOI: 10.4213/sm8149

 English version: Sbornik: Mathematics, 2013, 204:8, 1195–1214

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