Stability for the 3D Riemannian Penrose inequality
Differential Geometry
2026-01-07 v4 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.2402.10299,
title = {Stability for the 3D Riemannian Penrose inequality},
author = {Conghan Dong},
journal= {arXiv preprint arXiv:2402.10299},
year = {2026}
}
Comments
arguments improved, to appear in G&T