Convergence of the fractional Yamabe flow for arbitrary initial energy
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866918107371536384 |
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| author | An, Jingeon Chan, Hardy Ho, Pak Tung |
| author_facet | An, Jingeon Chan, Hardy Ho, Pak Tung |
| contents | Since the seminal paper of Graham and Zworski (Invent. Math. 2003), conformal geometric problems are studied in the fractional setting. We consider the convergence of fractional Yamabe flow, which is previously known under small initial energy assumption. Inspired by the deep work of Brendle (J. Diff. Geom. 2005), we obtain the full convergence result for arbitrary initial energy, whenever the (fractional) positive mass conjecture is valid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22183 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence of the fractional Yamabe flow for arbitrary initial energy An, Jingeon Chan, Hardy Ho, Pak Tung Analysis of PDEs 35K55, 35B40 Since the seminal paper of Graham and Zworski (Invent. Math. 2003), conformal geometric problems are studied in the fractional setting. We consider the convergence of fractional Yamabe flow, which is previously known under small initial energy assumption. Inspired by the deep work of Brendle (J. Diff. Geom. 2005), we obtain the full convergence result for arbitrary initial energy, whenever the (fractional) positive mass conjecture is valid. |
| title | Convergence of the fractional Yamabe flow for arbitrary initial energy |
| topic | Analysis of PDEs 35K55, 35B40 |
| url | https://arxiv.org/abs/2507.22183 |