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arXiv · 2403.12304

Conformally symplectic structures and the Lefschetz condition

Mehdi Lejmi·Scott O. Wilson
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Abstract

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.

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Mehdi Lejmi, Scott O. Wilson. 2024-03-18. Conformally symplectic structures and the Lefschetz condition. https://arxiv.org/abs/2403.12304

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