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) Zbl0581.53021MR0801966
  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) Zbl0575.53015MR0801339
  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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  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) Zbl0676.53042MR0887093
  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) Zbl0112.36901MR0131250
  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) Zbl0144.21003MR0198496
  16. B. Watson, New examples of strictly almost Kähler manifolds, Proc. Amer. Math. Soc, 88 (1983), 541-544. (1983) Zbl0517.53039MR0699430
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  18. S. T. Yau, Parallelizable manifolds without complex structure, Topology, 15 (1976), 51-53. (1976) Zbl0331.32013MR0397030

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