On weakly convex star-shaped polyhedra
Metric Geometry
2010-10-19 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.0704.2901,
title = {On weakly convex star-shaped polyhedra},
author = {Jean-Marc Schlenker},
journal= {arXiv preprint arXiv:0704.2901},
year = {2010}
}