| Title:
|
Compact symplectic four-dimensional manifolds not admitting polarizations (English) |
| Author:
|
Fernández, Marisa |
| Author:
|
de León, Manuel |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
30 |
| Issue:
|
4 |
| Year:
|
1989 |
| Pages:
|
789-793 |
| . |
| Category:
|
math |
| . |
| MSC:
|
37J99 |
| MSC:
|
53C15 |
| MSC:
|
53C55 |
| MSC:
|
58F05 |
| MSC:
|
58F06 |
| MSC:
|
81D07 |
| idZBL:
|
Zbl 0695.53030 |
| idMR:
|
MR1045911 |
| . |
| Date available:
|
2008-06-05T21:41:17Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106803 |
| . |
| Reference:
|
[1] Woodhouse N. M. J.: Geometric Quantization.Clarendon, Oxford, 1980. Zbl 0458.58003, MR 0605306 |
| Reference:
|
[2] Weinatein A.: Lectures on Symplectic Manifolds.CBMS Reg. Conf. Ser. Math. 29 (Amer. Math. Soc., Providence, R.I., 1977). MR 0464312 |
| Reference:
|
[3] Vaisman I.: The Bott obstruction io the existence of nice polarizations.Mh. Math. 92 (1981), 231-238. MR 0638166 |
| Reference:
|
[4] Fernández M., Gotay M. J., Gray A.: Compact parallelizable four dimensional symplectic and complex manifolds.Proc. Amer. Math. Soc. 103 (1988), 1209-1212. MR 0955011 |
| Reference:
|
[5] Gotay M. J.: A class of non-polarizable symplectic manifolds.Monatshefte für Math. 103 (1987), 27-30. Zbl 0608.53032, MR 0875349 |
| Reference:
|
[6] Cordero L. A., Fernandez M., de Léon M., Saralegui M.: Compact symplectic four solvmanifolds without polarizations.Annales de la Faculte des Sciences de Toulouse (1989) (to appear). MR 1425485 |
| Reference:
|
[7] Kobayashi S.: Principal fibre bundles with the 1 -dimensional toroidal group.Tôhoku Math. J. (2) 8 (1956), 29-45. Zbl 0075.32103, MR 0080919 |
| Reference:
|
[8] Kobayashi S.: Topology of positively pinched Kähler manifolds.Tôhoku Math. J. (2) 15 (1963), 121-139. Zbl 0114.37601, MR 0154235 |
| Reference:
|
[9] Bouyakoub A.: Sur une classe de vatiétés symplectiques et presque complexes.Thése, Univ. du Haute Alsace, Mulhouse, 1987. |
| Reference:
|
[10] Mcduff D.: Examples of simply connected symplectic nonKählerian manifolds.J. Diff. Geom. 20 (1984), 267-277. MR 0772133 |
| . |
