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math.DG2021
Scalar curvature deformation and mass rigidity for ALH manifolds with boundary
Lan-Hsuan Huang, Hyun Chul Jang
We study scalar curvature deformation for asymptotically locally hyperbolic (ALH) manifolds with nonempty compact boundary. We show that the scalar curvature map is locally surject…
math.DG2021
Hyperbolic mass via horospheres
Hyun Chul Jang, Pengzi Miao
We derive geometric formulas for the mass of asymptotically hyperbolic manifolds using coordinate horospheres. As an application, we obtain a new rigidity result of hyperbolic spac…