{
  "id": "1511.02567",
  "version": "v1",
  "published": "2015-11-09T04:59:08.000Z",
  "updated": "2015-11-09T04:59:08.000Z",
  "title": "Invariant Einstein metrics on generalized Wallach spaces",
  "authors": [
    "Zhiqi Chen",
    "Yu. G. Nikonorov"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "Invariant Einstein metrics on generalized Wallach spaces have been classified except $SO(k+l+m)/SO(k)\\times SO(l)\\times SO(m)$. In this paper, we give a survey on the study of invariant Einstein metrics on generalized Wallach spaces, and prove that there are infinitely many spaces of the type $SO(k+l+m)/SO(k)\\times SO(l)\\times SO(m)$ admitting exactly two, three, or four Einstein invariant metrics up to a homothety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-09T04:59:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "53C25",
      "53C30"
    ],
    "keywords": [
      "invariant einstein metrics",
      "generalized wallach spaces",
      "einstein invariant metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151102567C"
    }
  }
}