THE LAGRANGIAN OF A SELF-DUAL GRAVITATIONAL FIELD AS A LIMIT OF THE SDYM LAGRANGIAN
Abstract The action for the su( N ) SDYM equations is shown to give in the limit N → ∞ the action for the six-dimensional version of the second heavenly equation. The symmetry reductions of this latter equation to the well known equations of self-dual gravity are given. The Moyal deformation of the heavenly equations are also considered.