Skip to main content
Log in

On compact kähler manifolds of nonnegative bisectional curvature, I

  • Published:
Acta Mathematica

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.

Bibliography

  1. Cheeger, J. &Gromoll, D., The splitting theorem for manifolds of nonnegative Ricci curvature.J. Differential Geom., 6 (1971), 119–128.

    MathSciNet  Google Scholar 

  2. —, On the structure of complete manifolds of nonnegative curvature.Ann. of Math., 96 (1972), 413–443.

    Article  MathSciNet  Google Scholar 

  3. Goldberg, S. &Kobayashi, S., Holomorphic bisectional curvature.J. Differential Geom., 1 (1967), 225–233.

    MathSciNet  Google Scholar 

  4. Howard, A. &Smyth, B., Kähler surfaces of nonnegative curvature.J. Differential Geom., 5 (1971), 491–502.

    MathSciNet  Google Scholar 

  5. Kobayashi, S. &Nomizu, K.,Foundations of Differential Geometry, volume II. Interscience Publisher, New York, 1969.

    Google Scholar 

  6. Lichnerowicz, A.,Géométrie des Groupes de Transformations. Dunod, Paris, 1958.

    Google Scholar 

  7. Riemenschneider, O., Characterizing Moiŝezon spaces by almost positive coherent analytic sheaves.Math. Z., 123 (1971), 263–284.

    Article  MATH  MathSciNet  Google Scholar 

  8. Siu, Y. T. &Yau, S. T., Compact Kähler manifolds of positive bisectional curvature.Invent. math., 59 (1980), 189–204.

    Article  MathSciNet  Google Scholar 

  9. Wolf, J. A.,Spaces of Constant Curvature. 4th edition, Publish or Perish, Berkeley, 1977.

    Google Scholar 

  10. Wu, H., A remark on the Bochner technique in differential geometry.Proc. Amer. Math. Soc., 78 (1980), 403–408.

    Article  MATH  MathSciNet  Google Scholar 

  11. —, On compact Kähler manifolds of nonnegative bisectional curvature, II,Acta Math., 147: 1–2 (1981).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research partially supported by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Howard, A., Smyth, B. & Wu, H. On compact kähler manifolds of nonnegative bisectional curvature, I. Acta Math. 147, 51–56 (1981). https://doi.org/10.1007/BF02392867

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02392867

Keywords

Navigation