Projective ranks of Hermitian symmetric spaces

The topic of Hermitian symmetric spaces is discussed in the context of its relations to the curvature of the natural Kahler metrics. A Kahler manifold is considered Hermitian symmetric if there is an involute holomorphic isometry for every point in the system. A simpler characterization of Grasmann manifolds in terms of curvature, which is applicable to all classes of irreducible Hermetian spaces, is yet to be formulated.