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arXiv · 0704.2901

On weakly convex star-shaped polyhedra

Jean-Marc Schlenker
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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.

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Jean-Marc Schlenker. 2007-04-22. On weakly convex star-shaped polyhedra. https://arxiv.org/abs/0704.2901

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