Complex and Kaehler structures on compact homogeneous manifolds - their   existence, classification and moduli problem
  The existence of some complex geometrical structures on a compact manifold such as complex structures, Kaehler (pseudo-Kaehler) structures often impose certain restrictions on its underling topological or differentiable manifold. In this article we survey recent developments in the study of the existence, classification and moduli problems of such structures on compact homogeneous manifolds. 
Keizo Hasegawa