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math.DG2026
Spaces with distributional scalar curvature bounded from below: Optimal regularity and positive mass
Man-Chun Lee, Florian Litzinger, Miles Simon
In this work, we study the positive mass theorem under critical low regularity assumptions using Ricci flow smoothing. We show that asymptotically flat manifolds of regul…
math.DG2026
PIC1 pinched manifolds are flat or compact
Alix Deruelle, Man-Chun Lee, Felix Schulze +2
Hamilton's pinching conjecture, that three-dimensional complete non-compact manifolds with pinched Ricci curvature are flat, has recently been resolved using Ricci flow. In this pa…