Poisson brackets of even symplectic forms on the algebra of differential forms
Mathematical Physics
2018-05-29 v1 Differential Geometry
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.
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Cite
@article{arxiv.1805.10308,
title = {Poisson brackets of even symplectic forms on the algebra of differential forms},
author = {Juan Monterde and José Antonio Vallejo},
journal= {arXiv preprint arXiv:1805.10308},
year = {2018}
}
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