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

24 Feb 2020 Arvanitoyeorgos Andreas Sakane Yusuke Statha Marina

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 algebra $\frak g$ of $G$ and the tangent space $\frak p$ of $G/K$, by using the generalized flag manifolds $G/H = \SU(\ell+m+n)/\s(\U(\ell)\times\U(m)\times\U(n))$... (read more)

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• DIFFERENTIAL GEOMETRY