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.
Saved in:
| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2011 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2011
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147392 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Holomorphic Parabolic Geometries and Calabi-Yau Manifolds / B. McKay // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862718734015135744 |
|---|---|
| author | McKay, B. |
| author_facet | McKay, B. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T18:16:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147392 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:16:28Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Holomorphic Parabolic Geometries and Calabi-Yau Manifolds McKay, B. |
| title | 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_short | Holomorphic Parabolic Geometries and Calabi-Yau Manifolds |
| title_sort | holomorphic parabolic geometries and calabi-yau manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147392 |
| work_keys_str_mv | AT mckayb holomorphicparabolicgeometriesandcalabiyaumanifolds |