Quantification of scalar curvature under $C^0$ convergence using smoothing
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918455199924224 |
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| author | Lee, Man-Chun |
| author_facet | Lee, Man-Chun |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17759 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantification of scalar curvature under $C^0$ convergence using smoothing Lee, Man-Chun Differential Geometry 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. |
| title | Quantification of scalar curvature under $C^0$ convergence using smoothing |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2604.17759 |