Pseudo-Hermitian Symmetric Spaces

  • Soji Kaneyuki
Part of the Progress in Mathematics book series (PM, volume 185)


Let G/H be an almost effective symmetric coset space of a connected Lie group G. We do not assume H to be compact. If G is simple, G/H is called a simple symmetric space. If the linear isotropy representation of H is irreducible (resp. reducible), then G/H is called simple irreducible (resp. reducible). If G/H admits a G-invariant complex structure J and a G-invariant pseudo-Hermitian metric (with respect to J), then a G/H is called pseudo-Hermitian. Simple symmetric spaces were classified infinitesimally by Berger [1].


Symmetric Space Equivariant Action Hermitian Symmetric Space Siegel Domain Hermitian Type 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Soji Kaneyuki
    • 1
  1. 1.Department of MathematicsSophia UniversityTokyoJapan

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