Fino-Vezzoni conjecture on Lie algebras with abelian ideals of codimension two
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910536039399424 |
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| author | Cao, Kexiang Zheng, Fangyang |
| author_facet | Cao, Kexiang Zheng, Fangyang |
| contents | In this paper, we confirm the Fino-Vezzoni Conjecture for unimodular Lie algebras which contain abelian ideals of codimension two, a natural generalization to the class of almost abelian Lie algebras. This provides new evidence towards the validity of the conjecture on a very special type of $3$-step solvmanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09906 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fino-Vezzoni conjecture on Lie algebras with abelian ideals of codimension two Cao, Kexiang Zheng, Fangyang Differential Geometry 53C55 In this paper, we confirm the Fino-Vezzoni Conjecture for unimodular Lie algebras which contain abelian ideals of codimension two, a natural generalization to the class of almost abelian Lie algebras. This provides new evidence towards the validity of the conjecture on a very special type of $3$-step solvmanifolds. |
| title | Fino-Vezzoni conjecture on Lie algebras with abelian ideals of codimension two |
| topic | Differential Geometry 53C55 |
| url | https://arxiv.org/abs/2311.09906 |