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.
KeywordsSymmetric Space Boundary Component Jordan Algebra Linear Fractional Transformation Hermitian Manifold
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