paper

Stability for the 3D Riemannian Penrose inequality

arXiv:2402.10299 · doi:10.2140/gt.2025.29.4911

Abstract

We show that the Schwarzschild 3-manifold is stable for the 3-dimensional Riemannian Penrose inequality in the pointed measured Gromov-Hausdorff topology, modulo negligible domains and boundary area perturbations.

arXiv commentarguments improved, to appear in G&T