2 papers
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.DG2025
Initial stability estimates for Ricci flow and three dimensional Ricci-pinched manifolds
Alix Deruelle, Felix Schulze, Miles Simon
This paper investigates the question of stability for a class of Ricci flows which start at possibly non-smooth metric spaces. We show that if the initial metric space is Reifenber…