Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

Details Holomorphic Parabolic Geometries and Calabi-Yau Manifolds Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

2008-12-09

arxiv.org/abs/0812.1749v6

SIGMA 7 (2011), 090, 11 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2011.090

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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