Band width estimates with lower spectral curvature bounds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918430252204032 |
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| author | Chai, Xiaoxiang Sun, Yukai |
| author_facet | Chai, Xiaoxiang Sun, Yukai |
| contents | In this work, we use the warped \( μ\)-bubble method to study the consequences of a spectral curvature bound. In particular, with a lower spectral Ricci curvature bound and a lower spectral scalar curvature bound, we show that the band width of a torical band is bounded above. We also obtain some rigidity results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10142 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Band width estimates with lower spectral curvature bounds Chai, Xiaoxiang Sun, Yukai Differential Geometry 53C24, 53C21 In this work, we use the warped \( μ\)-bubble method to study the consequences of a spectral curvature bound. In particular, with a lower spectral Ricci curvature bound and a lower spectral scalar curvature bound, we show that the band width of a torical band is bounded above. We also obtain some rigidity results. |
| title | Band width estimates with lower spectral curvature bounds |
| topic | Differential Geometry 53C24, 53C21 |
| url | https://arxiv.org/abs/2504.10142 |