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The Iwasawa manifold

Part of the Lecture Notes in Mathematics book series (LNM,volume 1209)

Keywords

  • Complex Manifold
  • Nijenhuis Tensor
  • Gaussian Integer
  • Massey Product
  • Natural Complex Structure

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References

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

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. S. S. Chern: Complex manifolds without potential theory, Springer-Verlag (1979).

    Google Scholar 

  3. L. A. Cordero, M. Fernández, and A. Gray: Variétés symplectiques sans structures kählériennes. C. R. Acad. Sci. Paris 301, 217–218 (1985).

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  4. L. A. Cordero, M. Fernández, and A. Gray: Symplectic manifolds without Kähler structure. Topology (to appear).

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  5. P. Deligne, P. Griffiths, J. Morgan, D. Sullivan: Real homotopy theory of Kähler manifolds. Invent. Math. 29, 245–274 (1975).

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M. Fernández, M. J. Gotay and A. Gray: Four dimensional parallelizable symplectic and complex manifolds (to appear).

    Google Scholar 

  7. A. Gray: Minimal varietes and almost Hermitian submanifolds. Michigan Math. J. 12, 273–287 (1965).

    CrossRef  MATH  Google Scholar 

  8. P. Griffiths and J. Harris: Principles of Algebraic Geometry, John Wiley, New York (1978).

    MATH  Google Scholar 

  9. J. Morrow and K. Kodaira: Complex manifolds, Holt Rinehart Winston New York (1971).

    MATH  Google Scholar 

  10. H. C. Wang: Complex parallelizable manifolds. Proc. Amer. Math. Soc. 5, 771–776 (1954).

    CrossRef  MathSciNet  Google Scholar 

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© 1986 Springer-Verlag

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Fernández, M., Gray, A. (1986). The Iwasawa manifold. In: Naveira, A.M., Ferrández, A., Mascaró, F. (eds) Differential Geometry Peñíscola 1985. Lecture Notes in Mathematics, vol 1209. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076628

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  • DOI: https://doi.org/10.1007/BFb0076628

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16801-0

  • Online ISBN: 978-3-540-44844-0

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