On a class of almost Hermitian 4-manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911195307442176 |
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| author | Addison, Ethan Draghici, Tedi Lejmi, Mehdi |
| author_facet | Addison, Ethan Draghici, Tedi Lejmi, Mehdi |
| contents | Using an integral identity proved by Sekigawa \cite{Sek87} on compact almost Hermitian 4-manifolds, we naturally obtain a global characterization of the class $\mathcal{AH}_1$ of almost Hermitian 4-manifolds satisfying the first Gray curvature condition from apparently weaker conditions. Then we take steps towards a classification of almost Hermitian 4-manifolds of class $\mathcal{AH}_1$, including proving a uniqueness result on 4-dimensional Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_05358 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a class of almost Hermitian 4-manifolds Addison, Ethan Draghici, Tedi Lejmi, Mehdi Differential Geometry Using an integral identity proved by Sekigawa \cite{Sek87} on compact almost Hermitian 4-manifolds, we naturally obtain a global characterization of the class $\mathcal{AH}_1$ of almost Hermitian 4-manifolds satisfying the first Gray curvature condition from apparently weaker conditions. Then we take steps towards a classification of almost Hermitian 4-manifolds of class $\mathcal{AH}_1$, including proving a uniqueness result on 4-dimensional Lie algebras. |
| title | On a class of almost Hermitian 4-manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2510.05358 |