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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 090, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.090 (Mi sigma648) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2011.090
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
Bibliographic databases:
Document Type: Article
MSC: 53C55; 53A55; 53C10
Language: English
Citation: Benjamin McKay, “Holomorphic Parabolic Geometries and Calabi–Yau Manifolds”, SIGMA, 7 (2011), 090, 11 pp.
Citation in format AMSBIB
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\by Benjamin McKay
\paper Holomorphic Parabolic Geometries and Calabi--Yau Manifolds
\jour SIGMA
\yr 2011
\vol 7
\papernumber 090
\totalpages 11
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