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math.DG2023
Gap Theorem on manifolds with small curvature concentration
Pak-Yeung Chan, Man-Chun Lee
In this work, we show that complete non-compact manifolds with non-negative Ricci curvature, Euclidean volume growth and sufficiently small curvature concentration are necessarily…
math.DG2023
Rigidity of area non-increasing maps
Man-Chun Lee, Luen-Fai Tam, Jingbo Wan
In this work, we consider the area non-increasing map between manifolds with positive curvature. By exploring the strong maximum principle along the graphical mean curvature flow,…