Paper · May 16, 2026
Strong uniqueness and rectifiability of generalized cylindrical singularities in Ricci flow
As on arXiv
Abstract
In this paper, we extend the results of to generalized cylinders. More precisely, we establish a Lojasiewicz inequality for the pointed -entropy in Ricci flow under the assumption that the geometry near the base point is close to a generalized cylinder , where is an Einstein manifold with obstruction of order three satisfying a suitable spectral condition. As an application, we prove the strong uniqueness of generalized cylindrical tangent flows. Furthermore, we show that the subset , consisting of points at which some tangent flow is given by or its quotient, is horizontally parabolic -rectifiable.
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In the guidebook
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