Killing Fields of Holomorphic Cartan Geometries

Details Killing Fields of Holomorphic Cartan Geometries Killing Fields of Holomorphic Cartan Geometries

2009-02-12

arxiv.org/abs/0902.2193v2

Mathematics

Differential Geometry

10 pages; the main result was improved; corrected typos

Scientific paper

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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