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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | https://arxiv.org/abs/2602.21813 |
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| _version_ | 1866917294088650752 |
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| author | Chai, Xiaoxiang Wan, Xueyuan |
| author_facet | Chai, Xiaoxiang Wan, Xueyuan |
| contents | Llarull's theorem asserts that the scalar curvature and the metric on the $n$-sphere cannot be bounded below at the same time by those of the standard $n$-sphere. Using the warped $μ$-bubble method, we develop Llarull type theorems for three and four-dimensional bands with spectral scalar curvature bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21813 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Llarull type theorems for bands in Three and Four dimensions Chai, Xiaoxiang Wan, Xueyuan Differential Geometry 53C24 Llarull's theorem asserts that the scalar curvature and the metric on the $n$-sphere cannot be bounded below at the same time by those of the standard $n$-sphere. Using the warped $μ$-bubble method, we develop Llarull type theorems for three and four-dimensional bands with spectral scalar curvature bounds. |
| title | Llarull type theorems for bands in Three and Four dimensions |
| topic | Differential Geometry 53C24 |
| url | https://arxiv.org/abs/2602.21813 |