Authors: D. Catalano Ferraioli and A. M. Vinogradov

Ricci flat pseudo-Riemannian 4-metrics possessing an Abelian Killing algebra with bidimesnional null orbits are studied under the assumption that the distribution orthogonal to the orbits is completely integrable. The results of this paper toghether with those of part I (see DIPS-7/2004) give a full description of Ricci flat metrics with bidimensional null Killing orbits whose distribution orthogonal to the orbits is completely integrable.

15 pages, AmS-LaTeX (LaTeX-2e).

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