Hermitian Structures on Lie Groups with Two-dimensional Commutator Subgroups
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912904156020736 |
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| author | Moghaddam, Hamid Reza Salimi |
| author_facet | Moghaddam, Hamid Reza Salimi |
| contents | This article studies left-invariant Hermitian structures on Lie groups with two-dimensional commutator subgroups. We provide an explicit classification for two specific types of such structures, which we designate as Type I and Type II. Furthermore, we classify the Kahler structures within these two types and compute their associated Bismut connections. Finally, we present examples of Kahler and strong (respectively, weak) Kahler with torsion structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13221 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hermitian Structures on Lie Groups with Two-dimensional Commutator Subgroups Moghaddam, Hamid Reza Salimi Differential Geometry 53C15, 22E15, 22E25, 53C30 This article studies left-invariant Hermitian structures on Lie groups with two-dimensional commutator subgroups. We provide an explicit classification for two specific types of such structures, which we designate as Type I and Type II. Furthermore, we classify the Kahler structures within these two types and compute their associated Bismut connections. Finally, we present examples of Kahler and strong (respectively, weak) Kahler with torsion structures. |
| title | Hermitian Structures on Lie Groups with Two-dimensional Commutator Subgroups |
| topic | Differential Geometry 53C15, 22E15, 22E25, 53C30 |
| url | https://arxiv.org/abs/2602.13221 |