A remark on compact symplectic manifolds not admitting complex structures
Fernández, M. ; de León, Manuel ; Rozas, I.
Archivum Mathematicum, Tome 026 (1990), p. 49-54 / Harvested from Czech Digital Mathematics Library
Publié le : 1990-01-01
Classification:  53C15,  53C55
@article{107368,
     author = {M. Fern\'andez and Manuel de Le\'on and I. Rozas},
     title = {A remark on compact symplectic manifolds not admitting complex structures},
     journal = {Archivum Mathematicum},
     volume = {026},
     year = {1990},
     pages = {49-54},
     zbl = {0733.53016},
     mrnumber = {1188073},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107368}
}
Fernández, M.; de León, Manuel; Rozas, I. A remark on compact symplectic manifolds not admitting complex structures. Archivum Mathematicum, Tome 026 (1990) pp. 49-54. http://gdmltest.u-ga.fr/item/107368/

E. Abbena Una osservazione sulle varieta almost Kähler, Atti dell'Acаdemiа delle Scienze di Torino, 115 (1981), 357-362. (1981)

N. Brotherton Some parallelizable four manifolds not admitting a complex structure, Bull. London Mаth. Soc., 10 (1978), 303-304. (1978) | MR 0519914 | Zbl 0409.53031

L. A. Cordero M. Fernández A. Grаy Variétés sympléctiques sans structures kähleriennes, C. R. Acad. Sci. Pаris, 301 (1985), 217-218. (1985) | MR 0801966

L. A. Cordero M. Fernández A. Grаy Symplectic manifolds without Kähler structure, Topology, 25, 3 (1986), 375-380. (1986) | MR 0842431

L. A. Cordero M. Fernández M. De León Examples of compact non-Kähler almost Kähler manifolds, Proc. Amer. Mаth. Soc. 95 (1985), 280-286. (1985) | MR 0801339

P. Deligne P. Griffiths J. Morgаn D. Sullivаn Real homotopy theory of Kähler manifolds, lnvent. Mаth., 29 (1975), 245-274. (1975) | MR 0382702

P. Dombrowski On the geometry of tangent bundle, J. Reine Angew. Mаth., 210 (1962), 73-88. (1962) | MR 0141050

M. Fernández M. Gotаy A. Grаy Four-dimensional parallelizable symplectic and complex manifolds, Proc Amer. Mаth. Soc. 103 (1988), 1209-1212. (1988) | MR 0955011

M. Fernández M. De León Some properties of the holomorphic sectional curvature of the tangent bundle, Rend. Sem. Fac. Sci. Univ. Cagliari, 56, 1 (1986), 11-19. (1986) | MR 0887093

S. Kobayashi Principal fibre bundles with the 1-dimensional toroidal group, Tôhoku Math. J. (2) 8 (1956), 29-45. (1956) | MR 0080919 | Zbl 0075.32103

S. Kobayashi Topology of positively pinched Kähler manifolds, Tôhoku Math. J. (2) 15 (1963), 121-139. (1963) | MR 0154235 | Zbl 0114.37601

K. Kodaira On the structure of compact complex analytic surfaces, I, Amer. J. Math., 86 (1964), 751-798. (1964) | MR 0187255 | Zbl 0137.17501

W. R. Thurston Some simple examples of symplectic manifolds, Proc Amer. Math. Soc., 55 (1976), 467-468. (1976) | MR 0402764 | Zbl 0324.53031

Ph. Tondeur Structure presque kählerienne naturelle sue le fibré des vecteurs covariants d'une variété riemannienne, C. R. Acad. Sci. Paris, 254 (1962), 407-408. (1962) | MR 0131250

A. Van De Ven On the Chern numbers of certain complex and almost complex manifolds, Proc. Nat. Acad. Sci. U.S.A., 55 (1966), 1624-1627. (1966) | MR 0198496

B. Watson New examples of strictly almost Kähler manifolds, Proc. Amer. Math. Soc, 88 (1983), 541-544. (1983) | MR 0699430 | Zbl 0517.53039

A. Weinstein Lectures on symplectic manifolds, CBMS Reg. Conf. Ser. Math. 29, Amer. Math. Soc. (1977). (1977) | MR 0464312 | Zbl 0406.53031

S. T. Yau Parallelizable manifolds without complex structure, Topology, 15 (1976), 51-53. (1976) | MR 0397030 | Zbl 0331.32013