Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911781627101184 |
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| author | Vétois, Jérôme |
| author_facet | Vétois, Jérôme |
| contents | On a smooth, closed Riemannian manifold $(M,g)$ of dimension $n\ge3$ with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only conformal metrics to $g$ with constant Q-curvature of order 4 are the metrics $λg$ with $λ>0$ constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07444 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds Vétois, Jérôme Differential Geometry Analysis of PDEs On a smooth, closed Riemannian manifold $(M,g)$ of dimension $n\ge3$ with positive scalar curvature and not conformally diffeomorphic to the standard sphere, we prove that the only conformal metrics to $g$ with constant Q-curvature of order 4 are the metrics $λg$ with $λ>0$ constant. |
| title | Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2210.07444 |