Geodesic
Compact symplectic four-dimensional manifolds not admitting polarizations
Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 4, pp. 789-793

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR   Zbl

Classification : 37J99, 53C15, 53C55, 58F05, 58F06, 81D07 
Fernández, Marisa; de León, Manuel. Compact symplectic four-dimensional manifolds not admitting polarizations. Commentationes Mathematicae Universitatis Carolinae, Tome 30 (1989) no. 4, pp. 789-793. http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a22/
@article{CMUC_1989_30_4_a22,
     author = {Fern\'andez, Marisa and de Le\'on, Manuel},
     title = {Compact symplectic four-dimensional manifolds not admitting polarizations},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {789--793},
     year = {1989},
     volume = {30},
     number = {4},
     mrnumber = {1045911},
     zbl = {0695.53030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a22/}
}
TY  - JOUR
AU  - Fernández, Marisa
AU  - de León, Manuel
TI  - Compact symplectic four-dimensional manifolds not admitting polarizations
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1989
SP  - 789
EP  - 793
VL  - 30
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a22/
LA  - en
ID  - CMUC_1989_30_4_a22
ER  - 
%0 Journal Article
%A Fernández, Marisa
%A de León, Manuel
%T Compact symplectic four-dimensional manifolds not admitting polarizations
%J Commentationes Mathematicae Universitatis Carolinae
%D 1989
%P 789-793
%V 30
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1989_30_4_a22/
%G en
%F CMUC_1989_30_4_a22

[1] Woodhouse N. M. J.: Geometric Quantization. Clarendon, Oxford, 1980. | MR | Zbl

[2] Weinatein A.: Lectures on Symplectic Manifolds. CBMS Reg. Conf. Ser. Math. 29 (Amer. Math. Soc., Providence, R.I., 1977). | MR

[3] Vaisman I.: The Bott obstruction io the existence of nice polarizations. Mh. Math. 92 (1981), 231-238. | MR

[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

[5] Gotay M. J.: A class of non-polarizable symplectic manifolds. Monatshefte für Math. 103 (1987), 27-30. | MR | Zbl

[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

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

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

[9] Bouyakoub A.: Sur une classe de vatiétés symplectiques et presque complexes. Thése, Univ. du Haute Alsace, Mulhouse, 1987.

[10] Mcduff D.: Examples of simply connected symplectic nonKählerian manifolds. J. Diff. Geom. 20 (1984), 267-277. | MR