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arXiv · 1606.02539

Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$

Luciana Aparecida Alves·Neiton Pereira da Silva
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Abstract

It is well known that the Einstein equation on a Riemannian flag manifold $(G/K,g)$ reduces to an algebraic system if $g$ is a $G$-invariant metric. In this paper we obtain explicitly new invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$; and we compute the Einstein system for generalized flag manifolds of type $Sp(n)$. We also consider the isometric problem for these Einstein metrics.

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Luciana Aparecida Alves, Neiton Pereira da Silva. 2016-06-08. Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$. https://arxiv.org/abs/1606.02539

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