Pinched self-dual Weyl curvature on Einstein four-manifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866908682040639488 |
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| author | Kim, Inyoung |
| author_facet | Kim, Inyoung |
| contents | We show that a compact oriented riemannian four-manifold with harmonic and pinched self-dual Weyl curvature is anti-self-dual if the type is nonpositive. The main part is to show that there is an almost-Kähler structure outside the zero set of the self-dual Weyl curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00825 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pinched self-dual Weyl curvature on Einstein four-manifolds Kim, Inyoung Differential Geometry 53C20, 53C21, 53C55 We show that a compact oriented riemannian four-manifold with harmonic and pinched self-dual Weyl curvature is anti-self-dual if the type is nonpositive. The main part is to show that there is an almost-Kähler structure outside the zero set of the self-dual Weyl curvature. |
| title | Pinched self-dual Weyl curvature on Einstein four-manifolds |
| topic | Differential Geometry 53C20, 53C21, 53C55 |
| url | https://arxiv.org/abs/2512.00825 |