3 papers
math.DG2019
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…
math.DG2019
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…
math.DG2018
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…