H. Jang

collaborators

4 papers

math.DG2026

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 $I^£$ . The deformation preserves a corner condition on t…

math.DG2026

Entropy Stability for products of negatively curved symmetric spaces

Hyun Chul Jang

Let $(M, g_{0})$ be a closed oriented $n$ -manifold that is locally isometric to a product $(X_{1}^{n_{1}}, g_{1}) \times \dots (X_{k}^{n_{k}}, g_{k})$ , where each $n_{i} \geq 3,$ and each factor $(X_i^{…

math.PR2025

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 $Îº_1(r…

math.DG2025

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…