We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal K"ahler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.
Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Bazzoni G
;
2017-01-01
Abstract
We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal K"ahler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.
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