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.
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| Auteurs principaux: | , |
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| Format: | article |
| Langue: | EN |
| Publié: |
De Gruyter
2017
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff1 |
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| Résumé: | 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. |
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