Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

Holomorphic Parabolic Geometries and Calabi-Yau Manifolds

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 Kähler manifolds.

Bibliographic Details
Main Author: Benjamin McKay
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-09-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
parabolic geometry
Calabi-Yau manifold
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.090

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