Cordero, Luis A.; Fernandez, Marisa; Gray, Alfred Variétés symplectiques sans structures kählériennes. (Symplectic manifolds without Kähler structures). (French) Zbl 0581.53021 C. R. Acad. Sci., Paris, Sér. I 301, 217-218 (1985). We show that there are many compact symplectic manifolds without any Kähler structure. The manifolds that we consider are compact quotients of certain nilpotent groups and are generalizations of the Thurston manifold. The absence of Kähler structures follows from the theory of minimal models. Cited in 1 Document MSC: 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:compact symplectic manifolds; Kähler structures PDFBibTeX XMLCite \textit{L. A. Cordero} et al., C. R. Acad. Sci., Paris, Sér. I 301, 217--218 (1985; Zbl 0581.53021)