Y. Sakane

collaborators

3 papers

math.DG2020

Invariant Einstein metrics on SU(N) and complex Stiefel manifolds

Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha

We study existence of invariant Einstein metrics on complex Stiefel manifolds $G/K = \SU(\ell+m+n)/\SU(n) $ and the special unitary groups $G = \SU(\ell+m+n)$. We decompose the Lie…

math.DG2018

Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands

Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha

We study invariant Einstein metrics on the Stiefel manifold $V_{k} R^{n} ≅ SO (n) / SO (n - k)$ of all orthonormal $k$ -frames in $R^{n}$ . The isotropy rep…

math.DG2018

New homogeneous Einstein metrics on quaternionic Stiefel manifolds

Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha

We consider invariant Einstein metrics on the quaternionic Stiefel manifolds $V_{p} H^{n}$ of all orthonormal $p$ -frames in $H^{n}$ . This manifold is diffeomorphic to t…