%0 Journal Article
%T Killing Fields of Holomorphic Cartan Geometries
%A Sorin Dumitrescu
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0902.2193v2