Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Giovanni Bazzoni ; Juan Carlos Marrero
Complex Manifolds, Tome 4 (2017), p. 172-178 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:288467 
@article{bwmeta1.element.doi-10_1515_coma-2017-0011,
     author = {Giovanni Bazzoni and Juan Carlos Marrero},
     title = {Locally conformal symplectic nilmanifolds with no locally conformal K\"ahler metrics},
     journal = {Complex Manifolds},
     volume = {4},
     year = {2017},
     pages = {172-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2017-0011}
}

Giovanni Bazzoni; Juan Carlos Marrero. Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics. Complex Manifolds, Tome 4 (2017) pp. 172-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2017-0011/