Holomorphic parabolic geometries and Calabi-Yau manifolds

Benjamin McKay

doi:10.3842/SIGMA.2011.090

Holomorphic parabolic geometries and Calabi-Yau manifolds

Benjamin McKay

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	090
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	7
DOIs	https://doi.org/10.3842/SIGMA.2011.090
Publication status	Published - 2011

Keywords

Calabi-Yau manifold
Parabolic geometry

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10.3842/SIGMA.2011.090

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title = "Holomorphic parabolic geometries and Calabi-Yau manifolds",

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 K{\"a}hler manifolds.",

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

M1 - 090

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Holomorphic parabolic geometries and Calabi-Yau manifolds

Abstract

Keywords

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