At every singular point of the first singular time for the mean-curvature flow of a smooth compact connected embedded surface in R³, the full fixed-center rescaling family converges locally smoothly on compact negative-time intervals to one multiplicity-one homothetic self-shrinker in the original ambient coordinates.
At every singular point of the first singular time for the mean-curvature flow of a smooth compact connected embedded surface in R³, the full fixed-center rescaling family converges locally smoothly on compact negative-time intervals to one multiplicity-one homothetic self-shrinker in the original ambient coordinates.
At every singular point of the first singular time for the mean-curvature flow of a smooth compact connected embedded surface in R³, the full fixed-center rescaling family converges locally smoothly on compact negative-time intervals to one multiplicity-one homothetic self-shrinker in the original ambient coordinates.
If correct, gives fixed-center tangent-flow uniqueness for all such first singularities.
Is the first singularity tangent flow of every embedded surface mean-curvature flow unique?
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OpenAI reports uniqueness of first-time surface mean-curvature tangents
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