Conformally symplectic structures and the Lefschetz condition
Symplectic Geometry
2024-04-08 v2 Differential Geometry
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.
Cite
@article{arxiv.2403.12304,
title = {Conformally symplectic structures and the Lefschetz condition},
author = {Mehdi Lejmi and Scott O. Wilson},
journal= {arXiv preprint arXiv:2403.12304},
year = {2024}
}
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6 pages