Abstract
A class of compact 4-dimensional symplectic manifolds which admit no polarizations whatsoever is presented. These spaces also provide examples of nonparallelizable manifolds which are symplectic but have no complex, and hence no Kähler, structures.
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Gotay, M.J. A class of non-polarizable symplectic manifolds. Monatshefte für Mathematik 103, 27–30 (1987). https://doi.org/10.1007/BF01302708
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DOI: https://doi.org/10.1007/BF01302708