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math.SG2024
Conformally symplectic structures and the Lefschetz condition
Mehdi Lejmi, Scott O. Wilson
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 degr…
math.DG2024
Generalized almost-Kähler-Ricci solitons
Michael Albanese, Giuseppe Barbaro, Mehdi Lejmi
We generalize Kähler-Ricci solitons to the almost-Kähler setting as the zeros of Inoue's moment map \cite{MR4017922}, and show that their existence is an obstruction to the existen…