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arXiv · 2406.07241

Samelson complex structures for the tangent Lie group

David N. Pham
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Abstract

It is shown that for any compact Lie group $G$ (odd or even dimensional), the tangent bundle $TG$ admits a left-invariant integrable almost complex structure, where the Lie group structure on $TG$ is the natural one induced from $G$. The aforementioned complex structure on $TG$ is inspired by Samelson's construction for even dimensional compact Lie groups.

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David N. Pham. 2024-06-11. Samelson complex structures for the tangent Lie group. https://arxiv.org/abs/2406.07241

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