Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Giovanni Bazzoni, Juan Carlos Marrero (2017)
Complex Manifolds
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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.