$L^1$ curvature bounds for Type I Ricci flows
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866917044514979840 |
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| author | Gianniotis, Panagiotis Leskas, Konstantinos |
| author_facet | Gianniotis, Panagiotis Leskas, Konstantinos |
| contents | We show $L^1$-bounds of the Riemann curvature tensor on a smooth closed $n$-dimensional Ricci flow. To achieve this we introduce the notion of a neck of maximal symmetry, similar to the one in Cheeger-Jiang-Naber and Jiang-Naber and establish a decomposition result by balls with uniform curvature bounds that satisfy an appropriate $(n-2)$-content estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_22660 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $L^1$ curvature bounds for Type I Ricci flows Gianniotis, Panagiotis Leskas, Konstantinos Differential Geometry Analysis of PDEs We show $L^1$-bounds of the Riemann curvature tensor on a smooth closed $n$-dimensional Ricci flow. To achieve this we introduce the notion of a neck of maximal symmetry, similar to the one in Cheeger-Jiang-Naber and Jiang-Naber and establish a decomposition result by balls with uniform curvature bounds that satisfy an appropriate $(n-2)$-content estimate. |
| title | $L^1$ curvature bounds for Type I Ricci flows |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2510.22660 |