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math.DG2009★ 37 cited
Invariant Einstein metrics on flag manifolds with four isotropy summands
Andreas Arvanitoyeorgos, Ioannis Chrysikos
A generalized flag manifold is a homogeneous space of the form , where is the centralizer of a torus in a compact connected semisimple Lie group . We classify all flag…
math.DG2009★ 18 cited
Invariant Einstein metrics on generalized flag manifolds with two isotropy summands
Andreas Arvanitoyeorgos, Ioannis Chrysikos
Let be a generalized flag manifold, that is the adjoint orbit of a compact semisimple Lie group . We use the variational approach to find invariant Einstein metrics for…