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math.DG2023
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…
math.DG2023
Gap Theorem on Riemannian manifolds using Ricci flow
Pak-Yeung Chan, Man-Chun Lee
In this work, we use the Ricci flow approach to study the gap phenomenon of Riemannian manifolds with non-negative curvature and sub-critical scaling invariant curvature decay. The…
math.DG2023
Ricci Flow under Kato-type curvature lower bound
Man-Chun Lee
In this work, we extend the existence theory of non-collapsed Ricci flows from point-wise curvature lower bound to Kato-type lower bound. As an application, we prove that compact t…