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math.DG2026
Rigidity of positive mass theorem with fast metric decay
Jianchun Chu, Man-Chun Lee, Jingbo Wan
In this work, we consider metrics on Euclidean space with nonnegative scalar curvature and rapid decay at infinity. We show that, in dimensions four and higher, any such metric is…
math.DG2026
Quantification of scalar curvature under convergence using smoothing
Man-Chun Lee
A quantitative version of the scalar lower bound under convergence was conjectured by Gromov. More recently, Mazurowski and Yao proved that a refined form of Gromov's conject…