Mathematics – Metric Geometry
Scientific paper
2007-04-22
Discrete Mathematics 309(2009):20, 6139-6149
Mathematics
Metric Geometry
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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