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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2006 Volume 47, Number 4, Pages 859–864 (Mi smj900)

This article is cited in 3 papers

A short proof of rigidity of convex polytopes

I. M. Pak

Massachusetts Institute of Technology

Abstract: We present a much simplified proof of Dehn?s theorem on the infinitesimal rigidity of convex polytopes. Our approach is based on the ideas of Trushkina [1] and Schramm [2].

Keywords: convex polytope, infinitesimal rigidity, Dehn theorem.

UDC: 514.172.45, 514.752.435, 519.173

Received: 12.08.2005


 English version:
Siberian Mathematical Journal, 2006, 47:4, 710–713

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