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arXiv · 2208.00026

Canonical almost-K\"ahler metrics dual to general plane-fronted wave Lorentzian metrics

Mehdi Lejmi·Xi Sisi Shen
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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-K\"ahler. In this note, we explain how to construct extremal and second-Chern-Einstein non-K\"ahler almost-K\"ahler metrics dual to those general plane-fronted waves.

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Mehdi Lejmi, Xi Sisi Shen. 2022-07-29. Canonical almost-K\"ahler metrics dual to general plane-fronted wave Lorentzian metrics. https://arxiv.org/abs/2208.00026

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