$p$-symplectic and $p$-pluriclosed structures on solvmanifolds
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914872580636672 |
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| author | Giudice, Ettore Lo Tomassini, Adriano |
| author_facet | Giudice, Ettore Lo Tomassini, Adriano |
| contents | Let $(M,J)$ be a $n$-dimensional complex manifold: a $p$-Kähler structure (resp. $p$-symplectic structure) on $M$ is a real, closed $(p,p)$-transverse form $Ω$ (resp. real, closed $2p$-form whose $(p,p)$-component is transverse). We give obstructions to the existence of such structures on compact complex manifolds. We provide several families of compact complex manifolds which admit both $(n-1)$-symplectic structures and special Hermitian metrics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_11526 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $p$-symplectic and $p$-pluriclosed structures on solvmanifolds Giudice, Ettore Lo Tomassini, Adriano Differential Geometry 32J27, 53C15 Let $(M,J)$ be a $n$-dimensional complex manifold: a $p$-Kähler structure (resp. $p$-symplectic structure) on $M$ is a real, closed $(p,p)$-transverse form $Ω$ (resp. real, closed $2p$-form whose $(p,p)$-component is transverse). We give obstructions to the existence of such structures on compact complex manifolds. We provide several families of compact complex manifolds which admit both $(n-1)$-symplectic structures and special Hermitian metrics. |
| title | $p$-symplectic and $p$-pluriclosed structures on solvmanifolds |
| topic | Differential Geometry 32J27, 53C15 |
| url | https://arxiv.org/abs/2407.11526 |