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Stability for the 3D
Riemannian Penrose inequality
Conghan Dong |
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Geometry & Topology 29 (2025) 4911–4945
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DOI: 10.2140/gt.2025.29.4911
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Abstract |
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We show that the Schwarzschild -manifold is stable for the -dimensional Riemannian Penrose inequality in the pointed measured Gromov–Hausdorff topology, modulo negligible domains and boundary area perturbations. |
Keywords
stability, Penrose inequality
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Mathematical Subject Classification
Primary: 53C21
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References |
Publication
Received: 9 September 2024
Revised: 24 April 2025
Accepted: 22 June 2025
Published: 31 December 2025
Proposed: Aaron Naber
Seconded: Tobias H Colding, Bruce Kleiner
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Authors |
| Conghan Dong | |
| Mathematics Department Stony Brook University Stony Brook, NY United States |
Mathematics Department Duke University Durham, NC United States |
| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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