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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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McKay, B. 2019-02-14T17:03:09Z 2019-02-14T17:03:09Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/147392 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. This material is based upon works supported by the Science Foundation Ireland under Grant No. MATF634. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Holomorphic Parabolic Geometries and Calabi-Yau Manifolds Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Holomorphic Parabolic Geometries and Calabi-Yau Manifolds |
| spellingShingle |
Holomorphic Parabolic Geometries and Calabi-Yau Manifolds McKay, B. |
| 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 |
| author |
McKay, B. |
| author_facet |
McKay, B. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
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AT mckayb holomorphicparabolicgeometriesandcalabiyaumanifolds |
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2025-12-07T18:16:28Z |
| last_indexed |
2025-12-07T18:16:28Z |
| _version_ |
1850874410358013952 |