%0 Journal Article %T Holomorphic Parabolic Geometries and Calabi-Yau Manifolds %A Benjamin McKay %J Symmetry, Integrability and Geometry : Methods and Applications %D 2011 %I National Academy of Science of Ukraine %X We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact K hler manifolds. %K parabolic geometry %K Calabi-Yau manifold %U http://dx.doi.org/10.3842/SIGMA.2011.090