A compactness result for the CR Yamabe problem in three dimensions
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914626489286656 |
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| author | Afeltra, Claudio |
| author_facet | Afeltra, Claudio |
| contents | We prove the compactness of the set of solutions to the CR Yamabe problem on a compact strictly pseudoconvex CR manifold of dimension three whose blow-up manifolds at every point have positive p-mass. As a corollary we deduce that compactness holds for CR-embeddable manifolds which are not CR-equivalent to $S^3$. The theorem is proved by blow-up analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00906 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A compactness result for the CR Yamabe problem in three dimensions Afeltra, Claudio Analysis of PDEs We prove the compactness of the set of solutions to the CR Yamabe problem on a compact strictly pseudoconvex CR manifold of dimension three whose blow-up manifolds at every point have positive p-mass. As a corollary we deduce that compactness holds for CR-embeddable manifolds which are not CR-equivalent to $S^3$. The theorem is proved by blow-up analysis. |
| title | A compactness result for the CR Yamabe problem in three dimensions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.00906 |