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arXiv · 0812.1749

Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

Benjamin McKay
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Abstract

We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori. We also classify the complex parabolic geometries on homogeneous compact K\"ahler manifolds.

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Benjamin McKay. 2008-12-09. Holomorphic Parabolic Geometries and Calabi-Yau Manifolds. https://doi.org/10.3842/sigma.2011.090

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