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Mathematical Physics
Title: On the Lorenzoni-Magri hierarchy of hydrodynamic type
(Submitted on 16 Apr 2024 (v1), last revised 19 Apr 2024 (this version, v2))
Abstract: In 2005 Lorenzoni and Magri showed that a hydrodynamic-type hierarchy determined by the powers of a type (1,1) tensor field (on a smooth manifold) with vanishing Nijenhuis torsion can be deformed to a more general hierarchy, with the help of a chain of conservation laws of the new hierarchy. We review this construction. The (1,1) tensor fields of the resulting hierarchy have non-vanishing Nijenhuis torsion, in general, but their Haantjes tensor vanishes.
Submission history
From: Folkert Müller-Hoissen [view email][v1] Tue, 16 Apr 2024 13:37:11 GMT (10kb)
[v2] Fri, 19 Apr 2024 09:10:06 GMT (11kb)
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