Generalized Yamabe Flows
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911141887737856 |
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| author | Lye, Jørgen Olsen Vertman, Boris Vitti, Mannaim Gennaro |
| author_facet | Lye, Jørgen Olsen Vertman, Boris Vitti, Mannaim Gennaro |
| contents | In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case. Moreover, we establish convergence for the case of negative scalar curvature and expect a similar statement for the positive and the flat cases as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02593 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Yamabe Flows Lye, Jørgen Olsen Vertman, Boris Vitti, Mannaim Gennaro Differential Geometry 53C18, 58J35, 35K55 In this work we introduce a family of conformal flows generalizing the classical Yamabe flow. We prove that for a large class of such flows long-time existence holds, and the arguments are in fact simpler than in the classical case. Moreover, we establish convergence for the case of negative scalar curvature and expect a similar statement for the positive and the flat cases as well. |
| title | Generalized Yamabe Flows |
| topic | Differential Geometry 53C18, 58J35, 35K55 |
| url | https://arxiv.org/abs/2412.02593 |