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arXiv:1606.02539 [math.DG]AbstractReferencesReviewsResources

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

Luciana Aparecida Alves, Neiton Pereira da Silva

Published 2016-06-08Version 1

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.

Comments: The article has 13 pages and 1 table. arXiv admin note: substantial text overlap with arXiv:1411.3170
Categories: math.DG
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