Infinitesimal rigidity of convex polytopes
type: Item
instance of: scholarly article
title: Infinitesimal rigidity of convex polytopes
zbMATH Open document ID: 0938.52019
DOI: 10.1007/PL00009453
author: Christina Bauer
published in: Discrete \& Computational Geometry
publication date: 2000-06-18T00:00:00Z
review text: The author proves that a simple \(d\)-dimensional polytope, \(d\geq 3\), is infinitesimally rigid if, for some \(k\in\{ 1,\dots ,d-1\}\), the \(k\)-dimensional volumes of the polytope's \(k\)-dimensional faces satisfy a certain assumption of stationarity. This work is part of the author's thesis (1996; Zbl 0914.52003) written at the Albert-Ludwigs-Universität, Freiburg im Breisgau, Germany.
Mathematics Subject Classification ID: 52C25
Mathematics Subject Classification ID: 52B11
Mathematics Subject Classification ID: 52A39
zbMATH DE Number: 1334936
zbMATH Keywords: analogous polytopes
zbMATH Keywords: linear \(k\)-stress
zbMATH Keywords: \(d\)-dimensional polytope
zbMATH Keywords: infinitesimally rigid
reviewed by: Victor Alexandrov
MaRDI profile type: Publication
full work available at URL: pl00009453
OpenAlex ID: W2051805734
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description: scientific article; zbMATH DE number 1334936