Abstract
In the compact setting, Aazami and Ream \cite{Aazami:2022th} proved that Riemannian metrics dual to a class of Lorentzian metrics, called (compact) general plane-fronted waves, are almost-Kähler. In this note, we explain how to construct extremal and second-Chern-Einstein non-Kähler almost-Kähler metrics dual to those general plane-fronted waves.
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