Non naturally reductive Einstein metrics on $\SU(N)$ via generalized flag manifolds

Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha

We obtain new invariant Einstein metrics on the compact Lie group $\SU(N)$ which are not naturally reductive. This is achieved by using the generalized flag manifold $G/K=\SU(k_1+\…