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Dihedral rigidity in hyperbolic 3-space (2208.03859v1)
Published 8 Aug 2022 in math.DG, gr-qc, and math.GT
Abstract: We prove a comparison theorem for certain types of polyhedra in a 3-manifold with its scalar curvature bounded below by $-6$. The result confirms in some cases the Gromov dihedral rigidity conjecture in hyperbolic $3$-space.