New homogeneous Einstein metrics on Stiefel manifolds

Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha

We consider invariant Einstein metrics on the Stiefel manifold $V_q\bb{R} ^n$ of all orthonormal $q$-frames in $\bb{R}^n$. This manifold is diffeomorphic to the homogeneous space $…