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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2402.13390 |
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| _version_ | 1866911781184602112 |
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| author | Mansouri, M. W. Oufkou, A. |
| author_facet | Mansouri, M. W. Oufkou, A. |
| contents | We study Hermitian structures on twisted cartesian products $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ of two Hermitian Lie algebras according to two representations $ρ_{1}$ and $ρ_{2}$. We give the conditions on $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ to be balanced and locally conformally balanced. As an application we classify six-dimensional balanced Hermitian twisted cartesian products Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_13390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Balanced Hermitian structures on twisted cartesian products Mansouri, M. W. Oufkou, A. Algebraic Geometry We study Hermitian structures on twisted cartesian products $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ of two Hermitian Lie algebras according to two representations $ρ_{1}$ and $ρ_{2}$. We give the conditions on $(\mathfrak{g}_{(ρ_{1},ρ_{2})},\mathrm{J},\cal{K})$ to be balanced and locally conformally balanced. As an application we classify six-dimensional balanced Hermitian twisted cartesian products Lie algebras. |
| title | Balanced Hermitian structures on twisted cartesian products |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2402.13390 |