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arXiv · 2604.17759

Quantification of scalar curvature under $C^0$ convergence using smoothing

Man-Chun Lee
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Abstract

A quantitative version of the scalar lower bound under $C^0$ 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.

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Man-Chun Lee. 2026-04-20. Quantification of scalar curvature under $C^0$ convergence using smoothing. https://arxiv.org/abs/2604.17759

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