Classification of SNC-algebras in dimension five
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914539001348096 |
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| author | Sugai, Haruka |
| author_facet | Sugai, Haruka |
| contents | Every homogeneous manifold of negative curvature is known to be isometric to a Lie group with a left invariant metric. We define an SNC-algebra to be a Lie algebra which admits an inner product of strictly negative curvature. In the author's joint paper in 2022, we classified SNC-algebras in dimension four. In this article, we classify SNC-algebras in dimension five, as well as we calculate Ricci curvature of SNC-algebras in dimension four. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24593 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification of SNC-algebras in dimension five Sugai, Haruka Differential Geometry 53C30 Every homogeneous manifold of negative curvature is known to be isometric to a Lie group with a left invariant metric. We define an SNC-algebra to be a Lie algebra which admits an inner product of strictly negative curvature. In the author's joint paper in 2022, we classified SNC-algebras in dimension four. In this article, we classify SNC-algebras in dimension five, as well as we calculate Ricci curvature of SNC-algebras in dimension four. |
| title | Classification of SNC-algebras in dimension five |
| topic | Differential Geometry 53C30 |
| url | https://arxiv.org/abs/2604.24593 |