Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908927149473792 |
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| author | Haddou, Malika Ait Ben Ayad, Youssef |
| author_facet | Haddou, Malika Ait Ben Ayad, Youssef |
| contents | We classify, up to automorphism, left invariant Riemannian metrics on 4-dimensional simply connected nonunimodular Lie groups. This is equivalent to classifying, up to automorphism, inner products on 4-dimensional nonunimodular Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups Haddou, Malika Ait Ben Ayad, Youssef Differential Geometry 53C30, 53C20 We classify, up to automorphism, left invariant Riemannian metrics on 4-dimensional simply connected nonunimodular Lie groups. This is equivalent to classifying, up to automorphism, inner products on 4-dimensional nonunimodular Lie algebras. |
| title | Classification of left invariant Riemannian metrics on nonunimodular 4-dimensional Lie groups |
| topic | Differential Geometry 53C30, 53C20 |
| url | https://arxiv.org/abs/2501.01503 |