Bach-pinched metrics on closed manifolds
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916744110538752 |
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| author | Branca, Letizia Catino, Giovanni Dameno, Davide |
| author_facet | Branca, Letizia Catino, Giovanni Dameno, Davide |
| contents | Exploiting the deformation method introduced by Aubin in his seminal work to construct constant negative scalar curvature metrics, we show the existence, on every closed manifold of dimension four, of a metric whose Bach tensor is pinched by the scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13059 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bach-pinched metrics on closed manifolds Branca, Letizia Catino, Giovanni Dameno, Davide Differential Geometry Exploiting the deformation method introduced by Aubin in his seminal work to construct constant negative scalar curvature metrics, we show the existence, on every closed manifold of dimension four, of a metric whose Bach tensor is pinched by the scalar curvature. |
| title | Bach-pinched metrics on closed manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2505.13059 |