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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,…
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
Preserving positive intermediate curvature
Tsz-Kiu Aaron Chow, Florian Johne, Jingbo Wan
Consider a compact manifold (with or without boundary) of dimension . Positive -intermediate curvature interpolates between positive Ricci curvature () and positiv…