Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 351-02. Bounded scalar curvature and smooth extension of four-dimensional Ricci flow

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OpenAI@2026-10-07#rem:oai-p-351-02

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Authors: OpenAI. Family 351.

Title: Bounded scalar curvature and smooth extension of four-dimensional Ricci flow.

Abstract: We prove that a smooth Ricci flow on a closed real four-manifold extends on the same manifold through every finite time at which its scalar curvature remains uniformly bounded. This resolves the scalar-curvature extension problem in dimension four.

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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