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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.18687 |
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| _version_ | 1866910028951191552 |
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| author | Bolsinov, Alexey V. Konyaev, Andrey Yu. Matveev, Vladimir S. |
| author_facet | Bolsinov, Alexey V. Konyaev, Andrey Yu. Matveev, Vladimir S. |
| contents | We show that for a hyperbolic system of hydrodynamic type admitting n symmetries, there exists a coordinate system in which the generator of the system and all the symmetries are diagonal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18687 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Existence of Riemannian invariants for integrable systems of hydrodynamic type Bolsinov, Alexey V. Konyaev, Andrey Yu. Matveev, Vladimir S. Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs Differential Geometry 53A45, 58A30 We show that for a hyperbolic system of hydrodynamic type admitting n symmetries, there exists a coordinate system in which the generator of the system and all the symmetries are diagonal. |
| title | Existence of Riemannian invariants for integrable systems of hydrodynamic type |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Analysis of PDEs Differential Geometry 53A45, 58A30 |
| url | https://arxiv.org/abs/2602.18687 |