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arXiv · 0902.2193

Killing Fields of Holomorphic Cartan Geometries

Sorin Dumitrescu
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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.

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Sorin Dumitrescu. 2009-03-10. Killing Fields of Holomorphic Cartan Geometries. https://arxiv.org/abs/0902.2193

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