Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

Abstract

We obtain an example of a compact locally conformal symplectic nilmanifold which admits no locally conformal Kähler metrics. This gives a new positive answer to a question raised by L. Ornea and M. Verbitsky.

7 pages, no figures. Comments are welcome!

References in corpus (3)

• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
• Contact pairs and locally conformally symplectic structures
• Vaisman nilmanifolds

Cited by in corpus (1)

• The hard Lefschetz duality for locally conformally almost Kähler manifolds