We compute the Euler-Poincaré characteristic of the homogeneous compact manifolds that can be described as minimal orbits for the action of a real form in a complex flag manifold.
"On the topology of minimal orbits in complex flag manifolds." Tohoku Math. J. (2) 60 (3) 403 - 422, 2008. https://doi.org/10.2748/tmj/1223057736