Applications of Nijenhuis geometry V: geodesic equivalence and finite-dimensional reductions of integrable quasilinear systems

We describe all metrics geodesically compatible with a gl -regular Nijenhuis operator L. The set of such metrics is large enough so that a generic local curve γ is a geodesic for a suitable metric g from this set. Next, we show that a certain evolutionary PDE system of hydrodynamic type constructed...

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Bibliographic Details

Main Authors:	Alexey Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
Format:	Default Article
Published:	2024
Subjects:	Applied mathematics Numerical and computational mathematics Nijenhuis operators Geodesically equivalent metrics Symmetries Killing tensors Integrals of motion Systems of hydrodynamic type Integrable systems Finite-dimensional reduction
Online Access:	https://hdl.handle.net/2134/30727472.v1
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