  The magnetic backgrounds that physically give rise to spacetime
noncommutativity are generally treated using noncommutative geometry. In this
article we prove that also the theory of generalised complex manifolds contains
the necessary elements to generate B-fields geometrically. As an example, the
Poisson brackets of the Landau model (electric charges on a plane subject to an
external, perperdicularly applied magnetic field) are rederived using the
techniques of generalised complex manifolds.
