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.

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Bibliographic Details
Date:2011
Main Author: McKay, B.
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147392
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Holomorphic Parabolic Geometries and Calabi-Yau Manifolds / B. McKay // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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