A remark on compact symplectic manifolds not admitting complex structures

M. Fernández; Manuel de León; I. Rozas

Archivum Mathematicum (1990)

  • Volume: 026, Issue: 1, page 49-54
  • ISSN: 0044-8753

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Fernández, M., de León, Manuel, and Rozas, I.. "A remark on compact symplectic manifolds not admitting complex structures." Archivum Mathematicum 026.1 (1990): 49-54. <http://eudml.org/doc/18283>.

@article{Fernández1990,
author = {Fernández, M., de León, Manuel, Rozas, I.},
journal = {Archivum Mathematicum},
keywords = {parallelizable symplectic manifolds; almost Kähler structure; Ricci tensor},
language = {eng},
number = {1},
pages = {49-54},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A remark on compact symplectic manifolds not admitting complex structures},
url = {http://eudml.org/doc/18283},
volume = {026},
year = {1990},
}

TY - JOUR
AU - Fernández, M.
AU - de León, Manuel
AU - Rozas, I.
TI - A remark on compact symplectic manifolds not admitting complex structures
JO - Archivum Mathematicum
PY - 1990
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 026
IS - 1
SP - 49
EP - 54
LA - eng
KW - parallelizable symplectic manifolds; almost Kähler structure; Ricci tensor
UR - http://eudml.org/doc/18283
ER -

References

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  2. N. Brotherton, Some parallelizable four manifolds not admitting a complex structure, Bull. London Mаth. Soc., 10 (1978), 303-304. (1978) Zbl0409.53031MR0519914
  3. L. A. Cordero M. Fernández A. Grаy, Variétés sympléctiques sans structures kähleriennes, C. R. Acad. Sci. Pаris, 301 (1985), 217-218. (1985) MR0801966
  4. L. A. Cordero M. Fernández A. Grаy, Symplectic manifolds without Kähler structure, Topology, 25, 3 (1986), 375-380. (1986) MR0842431
  5. 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) MR0801339
  6. P. Deligne P. Griffiths J. Morgаn D. Sullivаn, Real homotopy theory of Kähler manifolds, lnvent. Mаth., 29 (1975), 245-274. (1975) MR0382702
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  8. M. Fernández M. Gotаy A. Grаy, Four-dimensional parallelizable symplectic and complex manifolds, Proc Amer. Mаth. Soc. 103 (1988), 1209-1212. (1988) MR0955011
  9. 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) MR0887093
  10. S. Kobayashi, Principal fibre bundles with the 1-dimensional toroidal group, Tôhoku Math. J. (2) 8 (1956), 29-45. (1956) Zbl0075.32103MR0080919
  11. S. Kobayashi, Topology of positively pinched Kähler manifolds, Tôhoku Math. J. (2) 15 (1963), 121-139. (1963) Zbl0114.37601MR0154235
  12. K. Kodaira, On the structure of compact complex analytic surfaces, I, Amer. J. Math., 86 (1964), 751-798. (1964) Zbl0137.17501MR0187255
  13. W. R. Thurston, Some simple examples of symplectic manifolds, Proc Amer. Math. Soc., 55 (1976), 467-468. (1976) Zbl0324.53031MR0402764
  14. 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) MR0131250
  15. 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) MR0198496
  16. B. Watson, New examples of strictly almost Kähler manifolds, Proc. Amer. Math. Soc, 88 (1983), 541-544. (1983) Zbl0517.53039MR0699430
  17. A. Weinstein, Lectures on symplectic manifolds, CBMS Reg. Conf. Ser. Math. 29, Amer. Math. Soc. (1977). (1977) Zbl0406.53031MR0464312
  18. S. T. Yau, Parallelizable manifolds without complex structure, Topology, 15 (1976), 51-53. (1976) Zbl0331.32013MR0397030

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