Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 351-01. A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup
Manuscript map · lines 9165–9174
OpenAI@2026-10-07#rem:oai-p-351-01
Authors: OpenAI. Family 351.
Title: A closed Ricci flow with bounded scalar curvature and finite-time curvature blowup.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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