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Left invariant nearly pseudo-K\"{a}hler structures and the tangent lie group

Author:
David N. Pham
Keyword:
Mathematics, Differential Geometry, Differential Geometry (math.DG)
journal:
--
date:
2023-07-28 16:00:00
Abstract
Let $G$ be a Lie group and let $(\mu,J)$ be a left invariant almost pseudo-Hermitian structure on $G$. It is shown that if $(\mu,J)$ 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.
PDF: Left invariant nearly pseudo-K\"{a}hler structures and the tangent lie group.pdf
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