Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

Benjamin McKay
2011 Symmetry, Integrability and Geometry: Methods and Applications  
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\"ahler manifolds.
doi:10.3842/sigma.2011.090 fatcat:sgtqnqr32zcizhqzkfjm7jmgdq