Conformally flat generalized globally framed
-space-forms are studied. In particular, in the case of corank
, the
-sectional curvature
, which is pointwise constant, determines the curvature tensor field. The constancy of
implies the flatness of the manifold. If
is not constant, a local classification of the considered spaces is obtained. This allows to produce explicit examples and to discuss the existence of those spaces whose underlying
-structure is of a particular type.