H. Jang

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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.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…