Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$

Luciana Aparecida Alves, Neiton Pereira da Silva

It is well known that the Einstein equation on a Riemannian flag manifold $(G/K,g)$ reduces to an algebraic system if $g$ is a $G$-invariant metric. In this paper we obtain explici…