Hermitian geometry of Lie algebras with abelian ideals of codimension $2$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917728159268864 |
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| author | Guo, Yuqin Zheng, Fangyang |
| author_facet | Guo, Yuqin Zheng, Fangyang |
| contents | We examine Hermitian metrics on unimodular Lie algebras which contains a $J$-invariant abelian ideal of codimension two, and give a classification for all Bismut Kähler-like and all Bismut torsion-parallel metrics on such Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04887 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hermitian geometry of Lie algebras with abelian ideals of codimension $2$ Guo, Yuqin Zheng, Fangyang Differential Geometry 53C55 We examine Hermitian metrics on unimodular Lie algebras which contains a $J$-invariant abelian ideal of codimension two, and give a classification for all Bismut Kähler-like and all Bismut torsion-parallel metrics on such Lie algebras. |
| title | Hermitian geometry of Lie algebras with abelian ideals of codimension $2$ |
| topic | Differential Geometry 53C55 |
| url | https://arxiv.org/abs/2212.04887 |