paper

Dihedral rigidity in hyperbolic 3-space

arXiv:2208.03859

Abstract

We prove a comparison theorem for certain types of polyhedra in a 3-manifold with its scalar curvature bounded below by . The result confirms in some cases the Gromov dihedral rigidity conjecture in hyperbolic -space.

35 pages, 7 figures; this paper contains in the Appendix a result of arxiv:2102.10715 due to X. Chai

Dihedral rigidity in hyperbolic 3-space · wovepaper