{"id":"openai-math/A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup","pdf":"https://github.com/openai/math/blob/main/preprints/A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/A-closed-Ricci-flow-with-bounded-scalar-curvature-and-finite-time-curvature-blowup-September-24-2026","tags":["ricci-flow","geometric-analysis","scalar-curvature","curvature-blowup"],"score":0,"title":"A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup","domain":"Differential geometry","family":"351","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.DG","summary":"We disprove the scalar-curvature extension conjecture in its unrestricted all-dimensions form. In sufficiently high dimension, we construct a Ricci flow on a closed manifold whose scalar curvature remains uniformly bounded while full curvature diverges at a finite maximal time. In one fixed sufficiently high dimension, the examples have two-sided power-law curvature blowup with arbitrarily large exponents.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Scalar curvature and finite-time Ricci-flow singularities"}