{
  "id": "2404.10562",
  "version": "v1",
  "published": "2024-04-16T13:37:11.000Z",
  "updated": "2024-04-16T13:37:11.000Z",
  "title": "On the Lorenzoni-Magri hierarchy of hydrodynamic type",
  "authors": [
    "Folkert Müller-Hoissen"
  ],
  "comment": "12 pages",
  "categories": [
    "math-ph",
    "math.DG",
    "math.MP",
    "nlin.SI"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-16T13:37:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hydrodynamic type",
      "lorenzoni-magri hierarchy",
      "tensor field",
      "haantjes tensor vanishes",
      "non-vanishing nijenhuis torsion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}