4 papers
Manifolds with PIC1 pinched curvature
Man-Chun Lee, Peter M. Topping
Recently it has been proved (Lee-Topping 2022, Deruelle-Schulze-Simon 2022, Lott 2019) that three-dimensional complete manifolds with non-negatively pinched Ricci curvature must be…
Three-manifolds with non-negatively pinched Ricci curvature
Man-Chun Lee, Peter M. Topping
We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature admits a complete Ricci flow solution for all positive time, with scale-invariant…
Rigidity of contracting map using harmonic map heat flow
Man-Chun Lee, Jingbo Wan
Motivated by a question of Tsai-Tsui-Wang, we consider the rigidity of map from manifolds with positive Ricci curvature to manifolds with positive sectional curvature. We show that…
Metric limits of manifolds with positive scalar curvature
Man-Chun Lee, Peter M. Topping
We show that any Riemannian metric conformal to the round metric on , for , arises as a limit of a sequence of Riemannian metrics of positive scalar curvature on $S^n…