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