Holomorphic geometric structures on Kähler-Einstein manifolds (Q527697)

The paper contains interesting results concerning holomorphic parabolic geometries. The author classifies the holomorphic parabolic geometries on compact Kähler manifolds with \(c_{1}\geq 0,\) showing that these compact Kähler manifolds are flat bundles on rational homogeneous varieties over complex tori. Also, a classification of the holomorphic cominiscule geometries on Kähler-Einstein manifolds is pointed out.