  We systematically study Schottky group actions on homogeneous rational
manifolds and find two new families besides those given by Nori's well-known
construction. This yields new examples of non-K\"ahler compact complex
manifolds having free fundamental groups. We then investigate their analytic
and geometric invariants such as the Kodaira and algebraic dimension, the
Picard group and the deformation theory, thus extending results due to
L\'arusson and to Seade and Verjovsky. As a byproduct, we see that the Schottky
construction allows to recover examples of equivariant compactifications of
SL(2,C)/\Gamma for \Gamma a discrete free loxodromic subgroup of SL(2,C),
previously obtained by A. Guillot.
