Poisson brackets of even symplectic forms on the algebra of differential forms Article uri icon

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.

publication date

  • 2002-01-01