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- W4300902290 abstract "A Riemannian manifold $(M,rho)$ is called Einstein if the metric $rho$ satisfies the condition $Ric (rho)=ccdot rho$ for some constant $c$. This paper is devoted to the investigation of $G$-invariant Einstein metrics with additional symmetries, on some homogeneous spaces $G/H$ of classical groups. As a consequence, we obtain new invariant Einstein metrics on some Stiefel manifolds $SO(n)/SO(l)$, and on the symplectic analogues $Sp(n)/Sp(l)$. Furthermore, we show that for any positive integer $p$ there exists a Stiefel manifold $SO(n)/SO(l)$ and a homogenous space $Sp(n)/Sp(l)$ which admit at least $p$ SO(n) (resp. $Sp(n)$)-invariant Einstein metrics." @default.
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- W4300902290 date "2006-12-18" @default.
- W4300902290 modified "2023-10-16" @default.
- W4300902290 title "Invariant Einstein metrics on some homogeneous spaces of classical Lie groups" @default.
- W4300902290 doi "https://doi.org/10.48550/arxiv.math/0612504" @default.
- W4300902290 hasPublicationYear "2006" @default.
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