Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
[摘要] 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.
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[关键词] parabolic geometry;Calabi–Yau manifold [时效性]
