Convergence rate of the $Q$-curvature flow
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914866946637824 |
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| author | Ho, Pak Tung Lee, Sanghoon |
| author_facet | Ho, Pak Tung Lee, Sanghoon |
| contents | Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study the convergence rate of the $Q$-curvature flow in this paper. In particular, we provide an example of a slowly converging $Q_6$-curvature flow in dimension 6, in constrast to the dimension 2 case, where the $Q$-curvature flow always converges exponentially. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Convergence rate of the $Q$-curvature flow Ho, Pak Tung Lee, Sanghoon Differential Geometry 53E99, 53C18, 35R01 Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study the convergence rate of the $Q$-curvature flow in this paper. In particular, we provide an example of a slowly converging $Q_6$-curvature flow in dimension 6, in constrast to the dimension 2 case, where the $Q$-curvature flow always converges exponentially. |
| title | Convergence rate of the $Q$-curvature flow |
| topic | Differential Geometry 53E99, 53C18, 35R01 |
| url | https://arxiv.org/abs/2407.08757 |