$p$-Kähler structures on fibrations and reductive Lie groups
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908798104371200 |
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| author | Fino, Anna Grantcharov, Gueo Mainenti, Asia |
| author_facet | Fino, Anna Grantcharov, Gueo Mainenti, Asia |
| contents | We investigate the existence of $p$-Kähler structures on two classes of complex manifolds: on quasi-regular fibrations, with particular emphasis on complex homogeneous spaces, and on reductive Lie groups endowed with invariant complex structures. In the latter setting, we construct non-regular complex structures on the Lie algebras $\mathfrak{sl}(2m-1,\mathbb{R})$ for $m \ge 2$ and show that these structures admit compatible balanced metrics, providing new explicit examples of balanced manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21849 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $p$-Kähler structures on fibrations and reductive Lie groups Fino, Anna Grantcharov, Gueo Mainenti, Asia Differential Geometry Complex Variables We investigate the existence of $p$-Kähler structures on two classes of complex manifolds: on quasi-regular fibrations, with particular emphasis on complex homogeneous spaces, and on reductive Lie groups endowed with invariant complex structures. In the latter setting, we construct non-regular complex structures on the Lie algebras $\mathfrak{sl}(2m-1,\mathbb{R})$ for $m \ge 2$ and show that these structures admit compatible balanced metrics, providing new explicit examples of balanced manifolds. |
| title | $p$-Kähler structures on fibrations and reductive Lie groups |
| topic | Differential Geometry Complex Variables |
| url | https://arxiv.org/abs/2601.21849 |