Killing Fields of Holomorphic Cartan Geometries

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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

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Differential Geometry, Algebraic Geometry, 53B21; 53C56; 53A55

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http://salesiana.dossiersoluciones.com/handle/123456789/222623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.2193
 http://arxiv.org/abs/0902.2193

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arXiv