On weakly convex star-shaped polyhedra

Mathematics – Metric Geometry

Scientific paper

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7 pages, 1 figure

Scientific paper

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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