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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Detalles Bibliográficos
Autores principales: Bazzoni Giovanni, Marrero Juan Carlos
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2017
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Acceso en línea:https://doaj.org/article/f3f883313e8e43d987c16d13c0b99ff1
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Sumario: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.