Dihedral rigidity in hyperbolic 3-space

Chai, Xiaoxiang; Wang, Gaoming

doi:10.1090/tran/9057

Dihedral rigidity in hyperbolic 3-space
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by Xiaoxiang Chai and Gaoming Wang;

Trans. Amer. Math. Soc. 377 (2024), 807-840

DOI: https://doi.org/10.1090/tran/9057

Published electronically: November 8, 2023

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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.

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