On weakly convex star-shaped polyhedra

Abstract

Weakly convex polyhedra which are star-shaped with respect to one of their vertices are infinitesimally rigid. This is a partial answer to the question whether every decomposable weakly convex polyhedron is infinitesimally rigid. The proof uses a recent result of Izmestiev on the geometry of convex caps.

7 pages, 1 figure

Cited by in corpus (1)

• A variational proof of Alexandrov's convex cap theorem