Quantification of scalar curvature under $C^0$ convergence using smoothing
Differential Geometry
2026-04-21 v1
Abstract
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 conjecture holds in dimension three. Furthermore, they constructed examples demonstrating that such a refinement is necessary. In this paper, we establish that the refined quantitative bound holds in all dimensions greater than or equal to three.
Cite
@article{arxiv.2604.17759,
title = {Quantification of scalar curvature under $C^0$ convergence using smoothing},
author = {Man-Chun Lee},
journal= {arXiv preprint arXiv:2604.17759},
year = {2026}
}
Comments
12 pages