{"id":"openai-math/Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers","pdf":"https://github.com/openai/math/blob/main/preprints/Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers-September-27-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Conformal-flow-and-the-Riemannian-Penrose-inequality-with-minimizing-frontiers-September-27-2026","tags":["differential-geometry","general-relativity","geometric-analysis"],"score":0,"title":"Conformal flow and the Riemannian Penrose inequality with minimizing frontiers","domain":"Mathematical physics","family":"260","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"We give a detailed conformal-flow proof of the numerical Riemannian Penrose inequality in every dimension n ≥ 3 for complete asymptotically flat exteriors with nonnegative scalar curvature and full compact frontiers that are outer minimizing and locally perimeter minimizing. The metric extends smoothly through the possibly singular frontier; neither spin nor frontier connectedness is assumed. The proof follows the conformal-flow approach of Bray, Bray–Lee, and Bi–Zhu.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-27","reactions":{},"formalized":false,"family_title":"Spacetime Penrose inequalities: enclosing area, charge, rotation, and anti-de Sitter extensions"}