A note on a diffeomorphism criterion via long-time Ricci flow
arXiv:2509.05802
Abstract
In this note, we give a diffeomorphism (to ) criterion via long-time Ricci flow and show some applications. In particular, we provide an affirmative answer that the conclusion in [Manifolds with small curvature concentration, Ann. PDE, 2024] by Chan, Lee and the first named author and [Removing scalar curvature assumption for Ricci flow smoothing, Bull. Lond. Math. Soc., 2025] by A. Martens about manifolds with small curvature concentration can be improved to diffeomorphism in dimension .
9 pages, all comments are welcome