{ "id": "1805.10308", "version": "v1", "published": "2018-05-25T18:16:41.000Z", "updated": "2018-05-25T18:16:41.000Z", "title": "Poisson brackets of even symplectic forms on the algebra of differential forms", "authors": [ "Juan Monterde", "José Antonio Vallejo" ], "comment": "Already published. Placed here for archiving purposes", "journal": "Annals of Global Analysis and Geometry 22 3 (2002) 267-289", "doi": "10.1023/A:1019948414641", "categories": [ "math-ph", "math.DG", "math.MP" ], "abstract": "Given a symplectic form and a pseudo-riemannian metric on a manifold, a non degenerate even Poisson bracket on the algebra of differential forms is defined and its properties are studied. A comparison with the Koszul-Schouten bracket is established.", "revisions": [ { "version": "v1", "updated": "2018-05-25T18:16:41.000Z" } ], "analyses": { "subjects": [ "53D17", "58A50" ], "keywords": [ "differential forms", "symplectic form", "poisson bracket", "koszul-schouten bracket" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }