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arXiv · 2402.10299

Stability for the 3D Riemannian Penrose inequality

Conghan Dong
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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.

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Conghan Dong. 2024-02-15. Stability for the 3D Riemannian Penrose inequality. https://doi.org/10.2140/gt.2025.29.4911

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