Article PDF
Avoid common mistakes on your manuscript.
References
E. Abbena,An example of an almost Kaehler manifold which is not Kaehlerian, Boll. Un. Mat. Ital. 6 (1984) 383–392.
J. N. Bernstein,The Lie super-algebra osp (1,2) over symplectic manifolds and representations of Poisson algebras, Seminar on super-manifold, ed Leites, Stockholm University (1977).
N. Brotherton,Some parallelizable four manifolds not admitting a complex structure, Bull. London Math. Soc.10 (1978) 303–304.
J. L. Brylinski,A differential complex for Poisson manifold, J. of Diff. Geo.28 (1988) 93–114.
L. Cordero, M. Fernández and A. Gray,Symplectic manifolds without Kaehler structures, Topology25 (1986), 375–380.
L. Cordero, M. Fernández and M. de LeónExamples of compact non-Kaehler almost kaehler manifolds, Proc. Am. Math. Soc.95 (1985), 280–286.
M. Fernández, M. Gotay and A. Gray,Compact parallelizable four-dimensional symplectic and complex manifolds, Proc. Amer. Math. Soc.103 (1988) 1209–1212.
P. Gabriel,Unzerleqbare darstellungen I, Manuscripta Math.6 (1972) 71–103.
M. J. Gotay,A class non-polarizable symplectic manifolds, Monatsch. Math.103 (1987) 27–30.
K. Kodaira,On the structure of compact complex analytic surfaces I, Amer. J. Math.86 (1964) 751–798.
J. L. Koszul,Crochet de Shouten-Nijenjuis et cohomologie in “Elie Cartan et les mathèmatique d'aujourd'huis”, Asterisque (1985) 251–271.
M. S. Raghunathan,Discrete subgroups in Lie groups, Springer-Verlag, Berlin. Ergebnisse der Math.68 (1972).
W. P. Thurston,Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc. 55 (1976) 467–468.
A. Van de Ven,On the Chern numbers of certain complex and almost complex manifolds, Proc. Nat. Sci. U.S.A.55 (1966), 1624–1627.
A. Weil,Varietes Kahleriennes, Hermann, Paris. Publ. Inst. Math. Univ. Nancago,6 (1958).
A. Weinstein,Lectures on symplectic manifolds, CBMS Regional Conf. Ser. in Math.,29. Amer. Math. Soc., Providence, R.I. (1977).
D. Yan Hodge Theory on Symplectic Manifolds, Preprint.
S. T. Yau,Parallelizable manifolds without complex structures, Topology15 (1976) 51–53.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mathieu, O. Harmonic cohomology classes of symplectic manifolds. Commentarii Mathematici Helvetici 70, 1–9 (1995). https://doi.org/10.1007/BF02565997
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02565997