The hard Lefschetz duality for locally conformally almost Kähler manifolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866918066921668608 |
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| author | Kanda, Shuho |
| author_facet | Kanda, Shuho |
| contents | We prove the hard Lefschetz duality for locally conformally almost Kähler manifolds. This is a generalization of that for almost Kähler manifolds studied by Cirici and Wilson. We generalize the Kähler identities to prove the duality. Based on the result, we introduce the hard Lefschetz condition for locally conformally symplectic manifolds. As examples, we give solvmanifolds which do not satisfy the hard Lefschetz condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06893 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The hard Lefschetz duality for locally conformally almost Kähler manifolds Kanda, Shuho Differential Geometry Symplectic Geometry 32Q60, 53C55, 53D35 We prove the hard Lefschetz duality for locally conformally almost Kähler manifolds. This is a generalization of that for almost Kähler manifolds studied by Cirici and Wilson. We generalize the Kähler identities to prove the duality. Based on the result, we introduce the hard Lefschetz condition for locally conformally symplectic manifolds. As examples, we give solvmanifolds which do not satisfy the hard Lefschetz condition. |
| title | The hard Lefschetz duality for locally conformally almost Kähler manifolds |
| topic | Differential Geometry Symplectic Geometry 32Q60, 53C55, 53D35 |
| url | https://arxiv.org/abs/2402.06893 |