Skip to main content
Log in

Harmonic cohomology classes of symplectic manifolds

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. E. Abbena,An example of an almost Kaehler manifold which is not Kaehlerian, Boll. Un. Mat. Ital. 6 (1984) 383–392.

    MathSciNet  Google Scholar 

  2. 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).

  3. N. Brotherton,Some parallelizable four manifolds not admitting a complex structure, Bull. London Math. Soc.10 (1978) 303–304.

    MathSciNet  Google Scholar 

  4. J. L. Brylinski,A differential complex for Poisson manifold, J. of Diff. Geo.28 (1988) 93–114.

    MathSciNet  Google Scholar 

  5. L. Cordero, M. Fernández and A. Gray,Symplectic manifolds without Kaehler structures, Topology25 (1986), 375–380.

    Article  MathSciNet  Google Scholar 

  6. L. Cordero, M. Fernández and M. de LeónExamples of compact non-Kaehler almost kaehler manifolds, Proc. Am. Math. Soc.95 (1985), 280–286.

    Article  Google Scholar 

  7. M. Fernández, M. Gotay and A. Gray,Compact parallelizable four-dimensional symplectic and complex manifolds, Proc. Amer. Math. Soc.103 (1988) 1209–1212.

    Article  MathSciNet  Google Scholar 

  8. P. Gabriel,Unzerleqbare darstellungen I, Manuscripta Math.6 (1972) 71–103.

    Article  MathSciNet  Google Scholar 

  9. M. J. Gotay,A class non-polarizable symplectic manifolds, Monatsch. Math.103 (1987) 27–30.

    Article  MathSciNet  Google Scholar 

  10. K. Kodaira,On the structure of compact complex analytic surfaces I, Amer. J. Math.86 (1964) 751–798.

    Article  MathSciNet  Google Scholar 

  11. J. L. Koszul,Crochet de Shouten-Nijenjuis et cohomologie in “Elie Cartan et les mathèmatique d'aujourd'huis”, Asterisque (1985) 251–271.

  12. M. S. Raghunathan,Discrete subgroups in Lie groups, Springer-Verlag, Berlin. Ergebnisse der Math.68 (1972).

    Google Scholar 

  13. W. P. Thurston,Some simple examples of symplectic manifolds, Proc. Amer. Math. Soc. 55 (1976) 467–468.

    Article  MathSciNet  Google Scholar 

  14. 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.

    Article  Google Scholar 

  15. A. Weil,Varietes Kahleriennes, Hermann, Paris. Publ. Inst. Math. Univ. Nancago,6 (1958).

    Google Scholar 

  16. A. Weinstein,Lectures on symplectic manifolds, CBMS Regional Conf. Ser. in Math.,29. Amer. Math. Soc., Providence, R.I. (1977).

    MATH  Google Scholar 

  17. D. Yan Hodge Theory on Symplectic Manifolds, Preprint.

  18. S. T. Yau,Parallelizable manifolds without complex structures, Topology15 (1976) 51–53.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02565997

Keywords

Navigation