3 citations · 13 across the 26 of their papers we have counts for
5 papers · 1 filter
Dihedral rigidity in hyperbolic 3-space
Xiaoxiang Chai, Gaoming Wang
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…
The mass of an asymptotically hyperbolic end and distance estimates
Xiaoxiang Chai, Xueyuan Wan
Let be a complete connected -dimensional Riemannian spin manifold without boundary such that the scalar curvature satisfies and …
Band width estimates of CMC initial data sets
Xiaoxiang Chai, Xueyuan Wan
We generalize a band width estimate of Gromov to CMC initial data sets. We give three independent proofs: via the stability of a hypersurface with prescribed null expansion, via a…
A curvature estimate for stable marginally outer trapped hypersurface with a free boundary
Xiaoxiang Chai
A marginally outer trapped hypersurface is a generalization of minimal hypersurfaces originated from general relativity. We show a curvature estimate for stable marginally outer tr…
Inverse mean curvature flow with a free boundary in hyperbolic space
Xiaoxiang Chai
We study inverse mean curvature flow with free boundary supported on geodesic spheres in hyperbolic space. Starting from any convex hypersurface inside a geodesic ball with a free…