Conformally symplectic structures and the Lefschetz condition
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910398997856256 |
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| author | Lejmi, Mehdi Wilson, Scott O. |
| author_facet | Lejmi, Mehdi Wilson, Scott O. |
| contents | This short note provides a symplectic analogue of Vaisman's theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally conformally symplectic, whenever there is a mutually compatible almost complex structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12304 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conformally symplectic structures and the Lefschetz condition Lejmi, Mehdi Wilson, Scott O. Symplectic Geometry Differential Geometry This short note provides a symplectic analogue of Vaisman's theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally conformally symplectic, whenever there is a mutually compatible almost complex structure. |
| title | Conformally symplectic structures and the Lefschetz condition |
| topic | Symplectic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2403.12304 |