Rigidity and the Alexandrov-Fenchel inequality (Q1207675)
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scientific article; zbMATH DE number 164932
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rigidity and the Alexandrov-Fenchel inequality |
scientific article; zbMATH DE number 164932 |
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Rigidity and the Alexandrov-Fenchel inequality (English)
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12 May 1993
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New proofs are given for Cauchy's and Alexandrov's classical theorem on the rigidity of polyhedral frameworks, as well as their higher dimensional generalizations. Through duality, the rigidity of these frameworks follows from characterizations of the case of equality in Minkowski's quadratic inequality.
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Alexandrov-Fenchel inequality
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\(g\)-theorem
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Maxwell-Cremona stress
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Cauchy's Theorem
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mixed volumes
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rigidity of polyhedral frameworks
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duality
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