Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914182664814592 |
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| author | Cesarino, Nunzia Tomassini, Adriano |
| author_facet | Cesarino, Nunzia Tomassini, Adriano |
| contents | In this paper, we present explicit computations of non-trivial triple $ABC$-Massey products on non-Kähler solvmanifolds endowed with an invariant complex structure. We prove that the {\em Bigalke-Rollenske manifold}, the {\em generalized Nakamura manifolds} satisfying some suitable assumptions and compact quotients of the solvable Lie group $\mathbb{C}^{2n}\ltimes_ρ \mathbb{C}^{2m}$ have non-vanishing triple $ABC$-Massey products. Furthermore, such manifolds have no astheno-Kähler metric. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_05894 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds Cesarino, Nunzia Tomassini, Adriano Differential Geometry 53C15, 58A14, 58J05 In this paper, we present explicit computations of non-trivial triple $ABC$-Massey products on non-Kähler solvmanifolds endowed with an invariant complex structure. We prove that the {\em Bigalke-Rollenske manifold}, the {\em generalized Nakamura manifolds} satisfying some suitable assumptions and compact quotients of the solvable Lie group $\mathbb{C}^{2n}\ltimes_ρ \mathbb{C}^{2m}$ have non-vanishing triple $ABC$-Massey products. Furthermore, such manifolds have no astheno-Kähler metric. |
| title | Aeppli-Bott-Chern Massey products on non-Kähler solvmanifolds |
| topic | Differential Geometry 53C15, 58A14, 58J05 |
| url | https://arxiv.org/abs/2512.05894 |