2 papers
math.SG2014
A -dimensional simply connected complex and symplectic manifold with no Kähler metric
Giovanni Bazzoni, Marisa Fernández, Vicente Muñoz
We construct a simply connected compact manifold which has complex and symplectic structures but does not admit Kähler metrics, in the lowest possible dimension where this can happ…
math.SG2014
Manifolds which are complex and symplectic but not Kähler
Giovanni Bazzoni, Vicente Muñoz
The first example of a compact manifold admitting both complex and symplectic structures but not admitting a Kähler structure is the renowned Kodaira-Thurston manifold. We review i…