12 citations · 15 across the 3 of their papers we have counts for
4 papers
Intrinsic flat convergence of points and applications to stability of the positive mass theorem
Lan-Hsuan Huang, Dan A. Lee, Raquel Perales
We prove results on intrinsic flat convergence of points---a concept first explored by Sormani in \cite{Sormani-AA}. In particular, we discuss compatibility with Gromov-Hausdorff c…
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…
Static potentials and area minimizing hypersurfaces
Lan-Hsuan Huang, Daniel Martin, Pengzi Miao
We show that if an asymptotically flat manifold with horizon boundary admits a global static potential, then the static potential must be zero on the boundary. We also show that if…
On the center of mass in general relativity
Lan-Hsuan Huang
The classical notion of center of mass for an isolated system in general relativity is derived from the Hamiltonian formulation and represented by a flux integral at infinity. In c…