Dihedral rigidity in hyperbolic 3-space
- Resource Type
- Working Paper
- Authors
- Chai, Xiaoxiang; Wang, Gaoming
- Source
- Subject
- Mathematics - Differential Geometry
General Relativity and Quantum Cosmology
Mathematics - Geometric Topology
53C12, 53C21, 53C23, 53C24
- Language
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.
Comment: 35 pages, 7 figures; this paper contains in the Appendix a result of arxiv:2102.10715 due to X. Chai