OpenAI reports finite-time Calabi flow singularity on projective space

A smooth Kähler metric in the Fubini–Study class of complex projective ten-space has a maximal Calabi flow with finite existence time and scalar curvature diverging like a positive constant times (T−t)⁻¹ᐟ² at a point.

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Understanding the problem

Read the background

A smooth Kähler metric in the Fubini–Study class of complex projective ten-space has a maximal Calabi flow with finite existence time and scalar curvature diverging like a positive constant times (T−t)⁻¹ᐟ² at a point.

Why it matters

If correct, disproves smooth long-time existence for Calabi flow even in the Fubini–Study class.

What counts as progress

Can Calabi flow become singular in finite time within a constant-scalar-curvature class?

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