6 papers
Gromov-Hausdorff convergence of time-slices of singular Ricci flows in dimension three
Yu Li
Starting from a closed, orientable three-dimensional Riemannian manifold, we consider the completion of the associated singular Ricci flow with respect to a natural spacetime dista…
Strong uniqueness and rectifiability of generalized cylindrical singularities in Ricci flow
Hanbing Fang, Yu Li
In this paper, we extend the results of \cite{fang2025strong, fang2025singular} to generalized cylinders. More precisely, we establish a Lojasiewicz inequality for the pointed $\ma…
Singular sets in noncollapsed Ricci flow limit spaces
Hanbing Fang, Yu Li
In this paper, we study the singular set of a noncollapsed Ricci flow limit space, arising as the pointed Gromov--Hausdorff limit of a sequence of closed Ricci flows…
Strong uniqueness of tangent flows at cylindrical singularities in Ricci flow
Hanbing Fang, Yu Li
In this paper, we establish a Lojasiewicz inequality for the pointed -entropy in the Ricci flow, under the assumption that the geometry near the base point is close to…
On the structure of noncollapsed Ricci flow limit spaces
Hanbing Fang, Yu Li
We establish a weak compactness theorem for the moduli space of closed Ricci flows, each equipped with a natural spacetime distance, under pointed Gromov--Hausdorff convergence. Fo…
Volume estimates for the singular sets of mean curvature flows
Hanbing Fang, Yu Li
In this paper, we establish uniform and sharp volume estimates for the singular set and the quantitative singular strata of mean curvature flows starting from a smooth, closed, mea…