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This article is cited in 3 scientific papers (total in 3 papers)
Holomorphic Parabolic Geometries and Calabi–Yau Manifolds
Benjamin McKay School of Mathematical Sciences, University College Cork, Cork, Ireland
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 Kähler manifolds.
Keywords:
parabolic geometry, Calabi–Yau manifold.
Received: May 25, 2011; in final form September 15, 2011; Published online September 20, 2011
Citation:
Benjamin McKay, “Holomorphic Parabolic Geometries and Calabi–Yau Manifolds”, SIGMA, 7 (2011), 090, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma648 https://www.mathnet.ru/eng/sigma/v7/p90
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Abstract page: | 217 | Full-text PDF : | 50 | References: | 42 |
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