Rigidity and the Alexandrov-Fenchel inequality |
| |
| Authors: | P Filliman |
| |
| Institution: | (1) Mathematics Department, Western Washington University, 98225 Bellingham, WA, USA |
| |
| Abstract: | New proofs are given for Cauchy's and Alexandrov's classical theorems 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. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
