Calabi flow with bounded $L^p$ scalar curvature
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914956459376640 |
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| author | Li, Haozhao Zhang, Linwei Zheng, Kai |
| author_facet | Li, Haozhao Zhang, Linwei Zheng, Kai |
| contents | In this paper, we show that the Calabi flow can be extended as long as the $L^p$ scalar curvature is uniformly bounded for some $p>n$, and on a compact extremal Kähler manifold the Calabi flow with uniformly bounded $L^p(p>n)$ scalar curvature exists for all time and converges exponentially fast to an extremal Kähler metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05816 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calabi flow with bounded $L^p$ scalar curvature Li, Haozhao Zhang, Linwei Zheng, Kai Differential Geometry 53C21, 53E40 In this paper, we show that the Calabi flow can be extended as long as the $L^p$ scalar curvature is uniformly bounded for some $p>n$, and on a compact extremal Kähler manifold the Calabi flow with uniformly bounded $L^p(p>n)$ scalar curvature exists for all time and converges exponentially fast to an extremal Kähler metric. |
| title | Calabi flow with bounded $L^p$ scalar curvature |
| topic | Differential Geometry 53C21, 53E40 |
| url | https://arxiv.org/abs/2312.05816 |