Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 352-01. A finite-time singularity of Calabi flow on projective space
Manuscript map · lines 9195–9204
OpenAI@2026-10-07#rem:oai-p-352-01
Authors: OpenAI. Family 352.
Title: A finite-time singularity of Calabi flow on projective space.
Abstract: We construct a smooth Kähler metric in the Fubini–Study class of ${}mathbb{CP}{}{10}$ whose Calabi flow develops unbounded scalar curvature in finite time. This disproves Chen's smooth long-time existence conjecture, even in a class containing a constant-scalar-curvature metric.
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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