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Non-homogeneous Kähler-Einstein metrics on compact complex manifolds

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Curvature and Topology of Riemannian Manifolds

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1201))

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References

  1. T. Aubin: Équation du type Monge-Ampère sur les variétés kähleriennes compactes, Bull. Sc. Math. 102 (1978) 63–95.

    MathSciNet  MATH  Google Scholar 

  2. S. Bando and T. Mabuchi: to appear.

    Google Scholar 

  3. A. Borel and F. Hirzebruch: Characteristic classes and homogeneous spaces I, Am. J. Math. 80 (1958) 458–538.

    Article  MathSciNet  MATH  Google Scholar 

  4. L. Bérard Bergery: Sur de nouvelles variétés riemanniennes d'Einstein, preprint 1981.

    Google Scholar 

  5. M. A. Blanchard: Sur les variétés analytiques complexes, Ann. Sci. Ecole Norm Sup. 73 (1956), 157–202.

    MathSciNet  MATH  Google Scholar 

  6. A. Futaki: An obstruction to the existence of Einstein Kähler metrics, Inventiones math. 73 (1983), 437–443.

    Article  MathSciNet  MATH  Google Scholar 

  7. P. A. Griffiths: Hermitian differential geometry, Chern classes and positive vector bundles, in Global Analysis, Papers in honor of K. Kodaira, Princeton Univ. Press, 1969, 181–251.

    Google Scholar 

  8. A. T. Huckleberry and D. M. Snow: Almost-homogeneous Kähler manifolds with hypersurface orbits, Osaka J. Math., 19 (1982) 763–786.

    MathSciNet  MATH  Google Scholar 

  9. Y. Matsushima: Remarks on Kähler-Einstein manifolds, Nagoya Math. J. 46 (1972) 161–173.

    MathSciNet  MATH  Google Scholar 

  10. Y. Sakane: Examples of compact Einstein Kähler manifolds with positive Ricci tensor, to appear.

    Google Scholar 

  11. S. T. Yau: On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation, I, Comm. on Pure and Appl. Math. 31 (1978) 339–411.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. College of General Education, Osaka University Faculty of Science, Osaka University, Toyonaka, 560, Osaka, Japan

    Norihito Koiso & Yusuke Sakane

Authors
  1. Norihito Koiso
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  2. Yusuke Sakane
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Katsuhiro Shiohama Takashi Sakai Toshikazu Sunada

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© 1986 Springer-Verlag

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Koiso, N., Sakane, Y. (1986). Non-homogeneous Kähler-Einstein metrics on compact complex manifolds. In: Shiohama, K., Sakai, T., Sunada, T. (eds) Curvature and Topology of Riemannian Manifolds. Lecture Notes in Mathematics, vol 1201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075654

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  • DOI: https://doi.org/10.1007/BFb0075654

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16770-9

  • Online ISBN: 978-3-540-38827-2

  • eBook Packages: Springer Book Archive

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