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arXiv · 2602.18687

Existence of Riemannian invariants for integrable systems of hydrodynamic type

Alexey V. Bolsinov·Andrey Yu. Konyaev·Vladimir S. Matveev
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Abstract

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.

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Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev. 2026-02-21. Existence of Riemannian invariants for integrable systems of hydrodynamic type. https://arxiv.org/abs/2602.18687

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