| Title:
|
A remark on compact symplectic manifolds not admitting complex structures (English) |
| Author:
|
Fernández, M. |
| Author:
|
De León, M. |
| Author:
|
Rozas, I. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
26 |
| Issue:
|
1 |
| Year:
|
1990 |
| Pages:
|
49-54 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C15 |
| MSC:
|
53C55 |
| idZBL:
|
Zbl 0733.53016 |
| idMR:
|
MR1188073 |
| . |
| Date available:
|
2008-06-06T06:21:06Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107368 |
| . |
| Reference:
|
[1] E. Abbena: Una osservazione sulle varieta almost Kähler.Atti dell'Acаdemiа delle Scienze di Torino, 115 (1981), 357-362. |
| Reference:
|
[2] N. Brotherton: Some parallelizable four manifolds not admitting a complex structure.Bull. London Mаth. Soc., 10 (1978), 303-304. Zbl 0409.53031, MR 0519914 |
| Reference:
|
[3] L. A. Cordero M. Fernández A. Grаy: Variétés sympléctiques sans structures kähleriennes.C. R. Acad. Sci. Pаris, 301 (1985), 217-218. MR 0801966 |
| Reference:
|
[4] L. A. Cordero M. Fernández A. Grаy: Symplectic manifolds without Kähler structure.Topology, 25, 3 (1986), 375-380. MR 0842431 |
| Reference:
|
[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. MR 0801339 |
| Reference:
|
[6] P. Deligne P. Griffiths J. Morgаn D. Sullivаn: Real homotopy theory of Kähler manifolds.lnvent. Mаth., 29 (1975), 245-274. MR 0382702 |
| Reference:
|
[7] P. Dombrowski: On the geometry of tangent bundle.J. Reine Angew. Mаth., 210 (1962), 73-88. MR 0141050 |
| Reference:
|
[8] M. Fernández M. Gotаy A. Grаy: Four-dimensional parallelizable symplectic and complex manifolds.Proc Amer. Mаth. Soc. 103 (1988), 1209-1212. MR 0955011 |
| Reference:
|
[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. MR 0887093 |
| Reference:
|
[10] S. Kobayashi: Principal fibre bundles with the 1-dimensional toroidal group.Tôhoku Math. J. (2) 8 (1956), 29-45. Zbl 0075.32103, MR 0080919 |
| Reference:
|
[11] S. Kobayashi: Topology of positively pinched Kähler manifolds.Tôhoku Math. J. (2) 15 (1963), 121-139. Zbl 0114.37601, MR 0154235 |
| Reference:
|
[12] K. Kodaira: On the structure of compact complex analytic surfaces, I.Amer. J. Math., 86 (1964), 751-798. Zbl 0137.17501, MR 0187255 |
| Reference:
|
[13] W. R. Thurston: Some simple examples of symplectic manifolds.Proc Amer. Math. Soc., 55 (1976), 467-468. Zbl 0324.53031, MR 0402764 |
| Reference:
|
[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. MR 0131250 |
| Reference:
|
[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. MR 0198496 |
| Reference:
|
[16] B. Watson: New examples of strictly almost Kähler manifolds.Proc. Amer. Math. Soc, 88 (1983), 541-544. Zbl 0517.53039, MR 0699430 |
| Reference:
|
[17] A. Weinstein: Lectures on symplectic manifolds.CBMS Reg. Conf. Ser. Math. 29, Amer. Math. Soc. (1977). Zbl 0406.53031, MR 0464312 |
| Reference:
|
[18] S. T. Yau: Parallelizable manifolds without complex structure.Topology, 15 (1976), 51-53. Zbl 0331.32013, MR 0397030 |
| . |
