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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| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2011
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | 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 |
| Zitieren: | 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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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 |
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2025-07-11T02:00:26Z |
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2025-07-11T02:00:26Z |
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1837314056817475584 |