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

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 sy...

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Bibliographic Details
Main Authors: Luciana Aparecida Alves, Neiton Pereira da Silva
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-02-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36604