Dihedral rigidity in hyperbolic 3-space

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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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Publication date Created: 07 August 2022

Article

ArXiV ID: 2208.03859

SO-VID: f84c0ae9-d4a9-48ea-9a55-0903894d8ec6

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http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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ACM classes 53C12, 53C21, 53C23, 53C24

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

Categories math.DG gr-qc math.GT

ScienceOpen disciplines: General relativity & Quantum cosmology,Geometry & Topology

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ScienceOpen disciplines: General relativity & Quantum cosmology, Geometry & Topology

Dihedral rigidity in hyperbolic 3-space

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