Samelson complex structures for the tangent Lie group
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913386338451456 |
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| author | Pham, David N. |
| author_facet | Pham, David N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Samelson complex structures for the tangent Lie group Pham, David N. Differential Geometry 53C15, 32Q60 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. |
| title | Samelson complex structures for the tangent Lie group |
| topic | Differential Geometry 53C15, 32Q60 |
| url | https://arxiv.org/abs/2406.07241 |