Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
Differential Geometry
2011-09-21 v6
Abstract
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.
Keywords
Cite
@article{arxiv.0812.1749,
title = {Holomorphic Parabolic Geometries and Calabi-Yau Manifolds},
author = {Benjamin McKay},
journal= {arXiv preprint arXiv:0812.1749},
year = {2011}
}