The Degree of Strong Nondegeneracy of the Bisectional Curvature of Exceptional Bounded Symmetric Domains

  • Hung-Hsi Wu
Part of the The University Series in Mathematics book series (USMA)


In Refs. 3 and 4 Siu discovered the complex analyticity of harmonic maps between two Kähler manifolds under some conditions and proved the strong rigidity of compact quotients of irreducible bounded symmetric domains of dimension at least 2. Furthermore, he proposed the following conjecture.


Symmetric Space Simple Root Symmetric Domain Root Vector Bisectional Curvature 
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    S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York (1962).MATHGoogle Scholar
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    Yum-Tong Siu, The complex-analyticity of harmonic maps and the strong rigidity of compact Kahler manifolds, Ann. of Math. 112, 73–111 (1980).MathSciNetMATHCrossRefGoogle Scholar
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    Yum-Tong Siu, Strong rigidity of compact quotients of exceptional domains, Duke Math. J. 48, 857–871 (1981).MathSciNetMATHCrossRefGoogle Scholar
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    Yum-Tong Siu, Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems, J. DO’. Geom. 17, 55–138 (1982).MATHGoogle Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Hung-Hsi Wu
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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