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math.DG2022
Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics
Mehdi Lejmi, Xi Sisi Shen
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…
math.DG2022
Second-Chern-Einstein metrics on 4-dimensional almost-Hermitian manifolds
Giuseppe Barbaro, Mehdi Lejmi
We study 4-dimensional second-Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis the Riemannian dual of the Lee form is a Ki…