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Poisson Brackets of Even Symplectic Forms on the Algebra of Differential Forms
Authors:J Monterde  J A Vallejo
Institution:(1) Departament de Geometria i Topologia, Universitat de València, Avgda. V. A. Estellés 1, E-46100 Burjassot, Spain
Abstract:Given a symplectic form and a pseudo-Riemannian metric on a manifold, a nondegenerate 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.
Keywords:graded manifolds  Poisson brackets  Koszul–  Schouten form
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