Rectifiability and backward uniqueness conjecture for the top Ricci flow singular stratum
Rectifiability and backward uniqueness conjecture for the top Ricci flow singular stratum
Let be a noncollapsed Ricci flow limit space arising as the pointed Gromov--Hausdorff limit of a sequence in . Let denote the -stratum of the singular set of dimension , and let be the finite group appearing in the corresponding tangent flow. Rectifiability and backward uniqueness conjecture. The set is vertically parabolic -rectifiable with respect to the -distance. Moreover, for -almost every , the tangent flow at is backward unique, and its negative part is given by
If true, then together with the paper's rectifiability theorem for the other singular strata, this would imply that the entire singular set is parabolic -rectifiable. The claim is proposed in general dimension; the supplied text gives no resolution, so its status remains open.
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Primary source
Hanbing Fang and Yu Li, “Singular sets in noncollapsed Ricci flow limit spaces”, arXiv:2510.26317 (2026).
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