Dihedral rigidity in hyperbolic 3-space
Differential Geometry
2022-08-09 v1 General Relativity and Quantum Cosmology
Geometric Topology
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.
Cite
@article{arxiv.2208.03859,
title = {Dihedral rigidity in hyperbolic 3-space},
author = {Xiaoxiang Chai and Gaoming Wang},
journal= {arXiv preprint arXiv:2208.03859},
year = {2022}
}
Comments
35 pages, 7 figures; this paper contains in the Appendix a result of arxiv:2102.10715 due to X. Chai