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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Бібліографічні деталі
Дата:2011
Автор: McKay, B.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2011
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/147392
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Holomorphic Parabolic Geometries and Calabi-Yau Manifolds / B. McKay // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ.

Репозиторії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1473922019-02-15T01:23:37Z Holomorphic Parabolic Geometries and Calabi-Yau Manifolds McKay, B. 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. 2011 Article Holomorphic Parabolic Geometries and Calabi-Yau Manifolds / B. McKay // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53C55; 53A55; 53C10 http://dx.doi.org/10.3842/SIGMA.2011.090 http://dspace.nbuv.gov.ua/handle/123456789/147392 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author McKay, B.
spellingShingle McKay, B.
Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
Symmetry, Integrability and Geometry: Methods and Applications
author_facet McKay, B.
author_sort McKay, B.
title Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
title_short Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
title_full Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
title_fullStr Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
title_full_unstemmed Holomorphic Parabolic Geometries and Calabi-Yau Manifolds
title_sort holomorphic parabolic geometries and calabi-yau manifolds
publisher Інститут математики НАН України
publishDate 2011
url http://dspace.nbuv.gov.ua/handle/123456789/147392
citation_txt Holomorphic Parabolic Geometries and Calabi-Yau Manifolds / B. McKay // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT mckayb holomorphicparabolicgeometriesandcalabiyaumanifolds
first_indexed 2023-05-20T17:27:37Z
last_indexed 2023-05-20T17:27:37Z
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