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.

Bibliographic Details
Main Authors: Bazzoni Giovanni, Marrero Juan Carlos
Format: Article
Language:English
Published: De Gruyter 2017-11-01
Series:Complex Manifolds
Subjects:
Online Access:https://doi.org/10.1515/coma-2017-0011