36 citations · 37 across the 8 of their papers we have counts for
9 papers
A spacetime positive mass theorem with corners via mollification
Hyun Chul Jang, Aidan F. Wood
We prove a strict dominant energy deformation theorem for asymptotically flat initial data with corners along a hypersurface . The deformation preserves a corner condition on th…
Deterministic--Distance Couplings of Brownian Motions on Radially Isoparametric Manifolds
Gunhee Cho, Hyun Chul Jang, Taeik Kim
We develop a unified geometric framework for coadapted Brownian couplings on radially isoparametric manifolds (RIM)--spaces whose geodesic spheres have principal curvatures $κ_1(r)…
Rigidity of Asymptotically Hyperboloidal Initial Data Sets with Vanishing Mass
Sven Hirsch, Hyun Chul Jang, Yiyue Zhang
In Special Relativity, massless objects are characterized as either vacuum states or as radiation propagating at the speed of light. This distinction extends to General Relativity…
Entropy Stability for products of negatively curved symmetric spaces
Hyun Chul Jang
Let be a closed oriented -manifold that is locally isometric to a product , where each and each factor $(X_i^{…
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…
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…
Some scalar curvature warped product splitting theorems
Gregory J. Galloway, Hyun Chul Jang
We present several rigidity results for Riemannian manifolds with scalar curvature (or ), and having compact boundary satisfying a related mea…
Mass rigidity for hyperbolic manifolds
Lan-Hsuan Huang, Hyun Chul Jang, Daniel Martin
We prove the rigidity of positive mass theorem for asymptotically hyperbolic manifolds. Namely, if the mass equality holds, then the manifold is isometric to hyperbolic space. The…
Asymptotically Hyperbolic 3-Metric with Ricci flow foliation
Hyun Chul Jang
In general relativity, there have been a number of successful constructions for asymptotically flat metrics with a certain background foliation. In particular, C. -Y. Lin used a fo…