Infinitesimal rigidity of convex polytopes (Q1302034)

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.