%0 Journal Article %T On weakly convex star-shaped polyhedra %A Jean-Marc Schlenker %J Mathematics %D 2007 %I arXiv %X 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. %U http://arxiv.org/abs/0704.2901v1