Lie Groups pp 212-235 | Cite as

Symmetric Spaces

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)


We have devoted some attention to an important class of homogeneous spaces of Lie groups, namely flag manifolds. An even more important class is that of symmetric spaces. In differential geometry, a symmetric space is a Riemannian manifold in which around every point there is an isometry reversing the direction of every geodesic.


Symmetric Space Boundary Component Jordan Algebra Linear Fractional Transformation Hermitian Manifold 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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