Foliations with bundle-like
metrics, conformal, minimal and totally geodesic foliations and minimal and geodesic
plane fields have been subject to recent study. A. M. Naveira has fitted all these
classes into a general scheme and has gotten thirty six classes of riemannian
almost-product manifolds. In this paper we give strict examples of these classes,
showing that none of them is vacuous, and that the inclusion relations among them
are strict. The basic riemannian manifolds for the construction of these examples are
submanifolds of Cn+1 and Hn+1 (C = complex field, H = quaternion field), and we
use the canonical complex structures on these vector spaces. Perhaps the most
interesting examples are those of minimal foliations which are not totally geodesic
foliations.
