Existence of Riemannian invariants for integrable systems of hydrodynamic type
Exactly Solvable and Integrable Systems
2026-02-24 v1 Mathematical Physics
Analysis of PDEs
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.2602.18687,
title = {Existence of Riemannian invariants for integrable systems of hydrodynamic type},
author = {Alexey V. Bolsinov and Andrey Yu. Konyaev and Vladimir S. Matveev},
journal= {arXiv preprint arXiv:2602.18687},
year = {2026}
}
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7 pages