{ "id": "1910.06765", "version": "v1", "published": "2019-10-13T19:52:38.000Z", "updated": "2019-10-13T19:52:38.000Z", "title": "Characterization, global analysis and integrability of a family of Poisson structures", "authors": [ "Benito Hernández-Bermejo" ], "comment": "arXiv admin note: text overlap with arXiv:1910.05141", "journal": "Physics Letters A 372(7), 1009-1017 (2008)", "doi": "10.1016/j.physleta.2007.08.052", "categories": [ "math-ph", "math.MP", "math.SG", "nlin.SI" ], "abstract": "An n-dimensional solution family of the Jacobi equations is characterized and investigated, including the global determination of its main features: the Casimir invariants, the construction of the Darboux canonical form and the proof of integrability for the related Poisson systems. Examples are given and include novel Poisson formulations.", "revisions": [ { "version": "v1", "updated": "2019-10-13T19:52:38.000Z" } ], "analyses": { "keywords": [ "poisson structures", "global analysis", "integrability", "characterization", "novel poisson formulations" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }