Bulletin of the London Mathematical Society · 1988 · 38 citations · 0 references
Natural SciencesMathematicsPhysicsMathematical PhysicsTheoretical PhysicsTopologyBoundary ConditionsDifferential GeometryDifferential TopologyPartial Differential EquationsRiemannian GeometrySymplectic GeometryPoisson BracketsPoisson EquationPoisson Geometry
We prove the existence of a Lie bracket on the space of 1-forms on a Poisson manifold. This gives rise to a calculus of skewsymmetric contravariant tensors dual to Cartan's calculus of forms.