On weakly convex star-shaped polyhedra
classification
🧮 math.MG
math.DG
keywords
convexweaklyinfinitesimallypolyhedrarigidstar-shapedanswercaps
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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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