Symmetric Killing tensors on almost abelian Lie groups
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918151636123648 |
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| author | Berto-Cuevas, Renan del Barco, Viviana Moroianu, Andrei |
| author_facet | Berto-Cuevas, Renan del Barco, Viviana Moroianu, Andrei |
| contents | In this work we provide a complete characterization of left-invariant symmetric Killing tensors on almost abelian Lie groups endowed with a left-invariant Riemannian metric. We show in particular that all such tensors are decomposable, in the sense that they can be expressed as a polynomial in the Killing vector fields and the Riemannian metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26195 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symmetric Killing tensors on almost abelian Lie groups Berto-Cuevas, Renan del Barco, Viviana Moroianu, Andrei Differential Geometry 22E25, 53C30, 53D25 In this work we provide a complete characterization of left-invariant symmetric Killing tensors on almost abelian Lie groups endowed with a left-invariant Riemannian metric. We show in particular that all such tensors are decomposable, in the sense that they can be expressed as a polynomial in the Killing vector fields and the Riemannian metric. |
| title | Symmetric Killing tensors on almost abelian Lie groups |
| topic | Differential Geometry 22E25, 53C30, 53D25 |
| url | https://arxiv.org/abs/2509.26195 |