$p$-symplectic and $p$-pluriclosed structures on solvmanifolds

Ettore Lo Giudice; Adriano Tomassini

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arXiv · 2407.11526

$p$-symplectic and $p$-pluriclosed structures on solvmanifolds

Ettore Lo Giudice·Adriano Tomassini

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Abstract

Let $(M,J)$ be a $n$-dimensional complex manifold: a $p$-K\"ahler structure (resp. $p$-symplectic structure) on $M$ is a real, closed $(p,p)$-transverse form $\Omega$ (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.

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BibTeX RIS

Ettore Lo Giudice, Adriano Tomassini. 2024-07-16. $p$-symplectic and $p$-pluriclosed structures on solvmanifolds. https://arxiv.org/abs/2407.11526

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