We show that the bosonic sector of a (4, 0) supersymmetric sigma-model
is a quasi Ricci-flat manifold with a closed torsion and vanishing sc
alar curvature; in the torsionless limit we recover the hyper-Kahler (
4, 4) models. Using the harmonic superspace and the self-duality equat
ions we derive the (4, 0) generalizations of the metrics of Taub-NUT a
nd Eguchi-Hanson.