Gromov's dihedral rigidity conjecture for convex polytopes is proved in all dimensions n≥3 using smooth inner approximations and Dirac operator estimates.
Li,A polyhedron comparison theorem for 3-manifolds with positive scalar curvature, Invent
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Dihedral Rigidity for Convex Polytopes by Smooth Approximation
Gromov's dihedral rigidity conjecture for convex polytopes is proved in all dimensions n≥3 using smooth inner approximations and Dirac operator estimates.