Killing Fields of Holomorphic Cartan Geometries
arXiv:0902.2193
Abstract
We study local automorphisms of holomorphic Cartan geometries. This leads to classification results for compact complex manifolds admitting Cartan geometries. We prove that a compact Calabi-Yau manifold bearing a holomorphic Cartan geometry of algebraic type admits a finite unramified cover which is a complex torus.
10 pages; the main result was improved; corrected typos