%0 Journal Article %1 765.52017 %A Filliman, P. %D 1992 %J Monatsh. Math. %K $g$-theorem; Cauchy's Maxwell-Cremona Theorem; duality} frameworks; inequality; mixed of polyhedral rigidity stress; volumes; {Alexandrov-Fenchel %N 1 %P 1-22 %T Rigidity and the Alexandrov-Fenchel inequality. %V 113 %X 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.

@article{765.52017, abstract = {{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.} }, added-at = {2008-03-02T02:12:02.000+0100}, author = {Filliman, P.}, biburl = {https://www.bibsonomy.org/bibtex/26ccae09893786be383664ba3920c8ab0/dmartins}, classmath = {{*52C25 Rigidity and flexibility of structures 52B11 n-dimensional polytopes 52B05 Combinatorial properties of convex sets 52A39 Mixed volumes and related topics (convex geometry)}}, description = {robotica-bib}, interhash = {1b77082021ced0d1c19c350b9a33392d}, intrahash = {6ccae09893786be383664ba3920c8ab0}, journal = {Monatsh. Math.}, keywords = {$g$-theorem; Cauchy's Maxwell-Cremona Theorem; duality} frameworks; inequality; mixed of polyhedral rigidity stress; volumes; {Alexandrov-Fenchel}, language = {English}, number = 1, pages = {1-22}, reviewer = {{P.Filliman}}, timestamp = {2008-03-02T02:12:50.000+0100}, title = {{Rigidity and the Alexandrov-Fenchel inequality.}}, volume = 113, year = 1992 }