paper

A short polyhedral proof of the infinitesimal Stoker conjecture

arXiv:2609.14645

Abstract

The infinitesimal Stoker conjecture states that an infinitesimal deformation of a convex polytope that preserves all dihedral angles also preserves all normal directions up to isometry. We give a short polyhedral proof, self-contained up to assuming spectral and geometric properties of the Izmestiev matrix.