Scalar curvature blows up at Type I rate at Type I singular points of general Ricci flows in all dimensions, implying no Type I singularities exist in bounded-scalar-curvature flows; similar ancient-Type-I behavior holds for ancient solutions.
arXiv:2110.02254 , year=
2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves Lojasiewicz inequality for W-entropy near generalized cylinders in Ricci flow, yielding strong uniqueness of tangent flows and horizontal parabolic k-rectifiability of the corresponding singularity set.
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A Local Singularity Analysis for the Ricci Flow and its Applications to Ricci Flows with Bounded Scalar Curvature -- Part II
Scalar curvature blows up at Type I rate at Type I singular points of general Ricci flows in all dimensions, implying no Type I singularities exist in bounded-scalar-curvature flows; similar ancient-Type-I behavior holds for ancient solutions.
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Strong uniqueness and rectifiability of generalized cylindrical singularities in Ricci flow
Proves Lojasiewicz inequality for W-entropy near generalized cylinders in Ricci flow, yielding strong uniqueness of tangent flows and horizontal parabolic k-rectifiability of the corresponding singularity set.