Effective volume growth of three-manifolds with positive scalar curvature
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914942631804928 |
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| author | Wang, Yipeng |
| author_facet | Wang, Yipeng |
| contents | In this note, we prove an effective linear volume growth for complete three-manifolds with non-negative Ricci curvature and uniformly positive scalar curvature. This recovers the results obtained by Munteanu-Wang. Our method builds upon recent work by Chodosh-Li-Stryker, which utilizes the technique of $μ$-bubbles and the almost-splitting theorem by Cheeger-Colding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03023 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Effective volume growth of three-manifolds with positive scalar curvature Wang, Yipeng Differential Geometry Metric Geometry In this note, we prove an effective linear volume growth for complete three-manifolds with non-negative Ricci curvature and uniformly positive scalar curvature. This recovers the results obtained by Munteanu-Wang. Our method builds upon recent work by Chodosh-Li-Stryker, which utilizes the technique of $μ$-bubbles and the almost-splitting theorem by Cheeger-Colding. |
| title | Effective volume growth of three-manifolds with positive scalar curvature |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2405.03023 |