Left invariant nearly pseudo-Kähler structures and the tangent lie group
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914968642781184 |
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| author | Pham, David N. |
| author_facet | Pham, David N. |
| contents | 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-Kähler, then the tangent bundle $TG$ (with its natural Lie group structure induced from $G$) admits a left-invariant nearly pseudo-Kähler structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15865 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Left invariant nearly pseudo-Kähler structures and the tangent lie group Pham, David N. Differential Geometry (Primary) 32Q60, 53C15, 53C50 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-Kähler, then the tangent bundle $TG$ (with its natural Lie group structure induced from $G$) admits a left-invariant nearly pseudo-Kähler structure. |
| title | Left invariant nearly pseudo-Kähler structures and the tangent lie group |
| topic | Differential Geometry (Primary) 32Q60, 53C15, 53C50 |
| url | https://arxiv.org/abs/2307.15865 |