2025/10/14 by Hanbing Fang, Yu Li, Fang, Hanbing +1 · 1 citation
Mathematics · Physics and Astronomy · #math.DG
paper · pdf · doi:10.48550/arxiv.2510.12398
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. For the subspace of flows with uniformly bounded entropy, we further develop a structure theory for the corresponding noncollapsed Ricci flow limit spaces, showing that the regular part, where convergence is smooth, admits the structure of a Ricci flow spacetime, while the singular set has codimension at least four.