Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-11-01
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| Series: | Complex Manifolds |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/coma-2017-0011 |
| _version_ | 1818401316070752256 |
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| author | Bazzoni Giovanni Marrero Juan Carlos |
| author_facet | Bazzoni Giovanni Marrero Juan Carlos |
| author_sort | Bazzoni Giovanni |
| collection | DOAJ |
| description | We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle. |
| first_indexed | 2024-12-14T07:50:32Z |
| format | Article |
| id | doaj.art-f3f883313e8e43d987c16d13c0b99ff1 |
| institution | Directory Open Access Journal |
| issn | 2300-7443 |
| language | English |
| last_indexed | 2024-12-14T07:50:32Z |
| publishDate | 2017-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Complex Manifolds |
| spelling | doaj.art-f3f883313e8e43d987c16d13c0b99ff12022-12-21T23:10:43ZengDe GruyterComplex Manifolds2300-74432017-11-014117217810.1515/coma-2017-0011coma-2017-0011Locally conformal symplectic nilmanifolds with no locally conformal Kähler metricsBazzoni Giovanni0Marrero Juan Carlos1Departamento de Geometría y Topología, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040, Madrid, SpainUnidad Asociada ULL-CSIC, Geometría Diferencial y Mecánica Geométrica, Universidad de La Laguna, Facultad de Ciencias, Avda. Astrofísico Francisco Sánchez s/n. 38071, La Laguna, SpainWe report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.https://doi.org/10.1515/coma-2017-0011locally conformal symplectic manifoldslocally conformal kähler manifoldscompact nilmanifolds53d0553c55 |
| spellingShingle | Bazzoni Giovanni Marrero Juan Carlos Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics Complex Manifolds locally conformal symplectic manifolds locally conformal kähler manifolds compact nilmanifolds 53d05 53c55 |
| title | Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics |
| title_full | Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics |
| title_fullStr | Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics |
| title_full_unstemmed | Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics |
| title_short | Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics |
| title_sort | locally conformal symplectic nilmanifolds with no locally conformal kahler metrics |
| topic | locally conformal symplectic manifolds locally conformal kähler manifolds compact nilmanifolds 53d05 53c55 |
| url | https://doi.org/10.1515/coma-2017-0011 |
| work_keys_str_mv | AT bazzonigiovanni locallyconformalsymplecticnilmanifoldswithnolocallyconformalkahlermetrics AT marrerojuancarlos locallyconformalsymplecticnilmanifoldswithnolocallyconformalkahlermetrics |