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Left invariant nearly pseudo-Kähler structures and the tangent lie group
Published 29 Jul 2023 in math.DG | (2307.15865v3)
Abstract: Let $G$ be a Lie group, and let $(g,J)$ be a left invariant almost pseudo-Hermitian structure on $G$. It is shown that if $(g,J)$ is also nearly pseudo-K\"{a}hler, then the tangent bundle $TG$ (with its natural Lie group structure induced from $G$) admits a left-invariant nearly pseudo-K\"{a}hler structure.
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