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arxiv: 1805.10308 · v1 · pith:4FGH3UZBnew · submitted 2018-05-25 · 🧮 math-ph · math.DG· math.MP

Poisson brackets of even symplectic forms on the algebra of differential forms

classification 🧮 math-ph math.DGmath.MP
keywords formsalgebrabracketdifferentialevenpoissonsymplecticbrackets
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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.

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