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Uniqueness theorems of Kähler metrics of semipositive bisectional curvature on compact Hermitian symmetric spaces

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References

  1. Bando, S.: On three dimensional compact Kähler manifolds of nonnegative bisectional curvature. J. Differ. Geom.19, 283–297 (1984)

    Google Scholar 

  2. Borel, A.: On the curvature tensor of the Hermitian symmetric manifolds. Ann. Math.71, 508–521 (1970)

    Google Scholar 

  3. Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962

    Google Scholar 

  4. Howard, A., Smyth, B.: Kähler surfaces of non-negative curvature. J. Differ. Geom.5, 491–502 (1971)

    Google Scholar 

  5. Howard, A., Smyth, B., Wu, H.-H.: On compact Kähler manifolds of nonnegative bisectional curvature. I. Acta. Math.147, 51–56 (1981)

    Google Scholar 

  6. Jacobson, N.: Lie algebras. Intersciences tracts. No. 10. New York: Wiley 1962

    Google Scholar 

  7. Mok, N.: Metric rigidity theorems on locally symmetric Hermitian spaces. Preprint

  8. Mok, N.: Uniqueness theorems of Hermitian metrics of seminegative curvature on locally symmetric spaces of negative Ricci curvature. To appear in Ann. Math.

  9. Mok, N., Zhong, J.-Q.: Variétés compactes kähleriennes d'Einstein de courbure bisectionelle semipositive. C.R. Acad. Sci. Paris299, Sér. I, 571–573 (1984)

    Google Scholar 

  10. Mok, N., Zhong, J.-Q.: Curvature characterization of compact Hermitian symmetric spaces. J. Differ. Geom.23, 15–67 (1986)

    Google Scholar 

  11. Mori, S.: Projective manifolds with ample tangent bundles. Ann. Math.110, 593–606 (1979)

    Google Scholar 

  12. Nakagawa, H., Takagi, R.: On locally symmetric Kähler manifolds in a complex projective space. J. Math. Soc. Japan28, 638–667 (1976)

    Google Scholar 

  13. Siu, Y.-T.: The complex-analyticity of harmonic maps and the strong rigidity of compact Kähler manifolds. Ann. Math.112, 73–111 (1980)

    Google Scholar 

  14. Siu, Y.-T.: Curvature characterization of hyper-quadrics, Duke Math. J.47, 641–654 (1980)

    Google Scholar 

  15. Siu, Y.-T., Yau, S.-T.: Compact Kähler manifolds of positive bisectional curvature. Invent. Math.59, 189–204 (1980)

    Google Scholar 

  16. Wang, Mc., Ziller, W.: Isotropy-irreducible spaces, symmetric spaces, and maximal subgroups of classical groups (in preparation)

  17. Wolf, J.A.: Spaces of constant curvature. New York: McGraw-Hill 1967

    Google Scholar 

  18. Wolf, J.A.: Fine structure of Hermitian symmetric spaces. In: Geometry of symmetric spaces. eds. Boothby, W., Weiss, G. New York: Dekker 1972

    Google Scholar 

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  1. Department of Mathematics, Columbia University, Mathematics Building, 10027, New York, NY, USA

    Ngaiming Mok

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  1. Ngaiming Mok
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Mok, N. Uniqueness theorems of Kähler metrics of semipositive bisectional curvature on compact Hermitian symmetric spaces. Math. Ann. 276, 177–204 (1987). https://doi.org/10.1007/BF01450737

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