{
  "id": "1606.02539",
  "version": "v1",
  "published": "2016-06-08T13:03:52.000Z",
  "updated": "2016-06-08T13:03:52.000Z",
  "title": "Invariant Einstein metrics on generalized flag manifolds of $Sp(n)$ and $SO(2n)$",
  "authors": [
    "Luciana Aparecida Alves",
    "Neiton Pereira da Silva"
  ],
  "comment": "The article has 13 pages and 1 table. arXiv admin note: substantial text overlap with arXiv:1411.3170",
  "categories": [
    "math.DG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-08T13:03:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C30",
      "14M17",
      "53C25",
      "53C30",
      "14M17",
      "14M15",
      "22E46"
    ],
    "keywords": [
      "generalized flag manifolds",
      "invariant einstein metrics",
      "riemannian flag manifold",
      "invariant metric",
      "isometric problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}