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On weakly convex star-shaped polyhedra

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.

preprint2007arXivOpen access
Jean-Marc Schlenker
math.MGmath.DG
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Jean-Marc Schlenker

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