Dihedral rigidity in hyperbolic 3-space

Author:

Chai Xiaoxiang,Wang Gaoming

Abstract

We prove a comparison theorem for certain types of polyhedra in a 3-manifold with its scalar curvature bounded below by 6 -6 . The result confirms in some cases the Gromov dihedral rigidity conjecture in hyperbolic 3 3 -space.

Funder

National Research Foundation of Korea

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference26 articles.

1. Rigidity and positivity of mass for asymptotically hyperbolic manifolds;Andersson, Lars;Ann. Henri Poincar\'{e},2008

2. Scalar curvature rigidity of geodesic balls in 𝑆ⁿ;Brendle, Simon;J. Differential Geom.,2011

3. Universitext;Benedetti, Riccardo,1992

4. The mass of asymptotically hyperbolic Riemannian manifolds;Chruściel, Piotr T.;Pacific J. Math.,2003

5. [Cha21] Xiaoxiang Chai, Asymptotically hyperbolic manifold with a horospherical boundary, arXiv:2102.08889 [gr-qc], 2021.

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