Andreas Arvanitoyeorgos, Ioannis Chrysikos
Published 2009-02-11Version 1
Let $M=G/K$ be a generalized flag manifold, that is the adjoint orbit of a compact semisimple Lie group $G$. We use the variational approach to find invariant Einstein metrics for all flag manifolds with two isotropy summands. We also determine the nature of these Einstein metrics as critical points of the scalar curvature functional under fixed volume.
Invariant Einstein metrics on flag manifolds with four isotropy summands
Complete description of invariant Einstein metrics on the generalized flag manifold $SO(2n)/U(p)\times U(n-p)$
Flag manifolds, symmetric $\fr{t}$-triples and Einstein metrics
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