{
  "id": "1812.04780",
  "version": "v1",
  "published": "2018-12-12T02:21:11.000Z",
  "updated": "2018-12-12T02:21:11.000Z",
  "title": "Manifolds admitting a metric with co-index of symmetry 4",
  "authors": [
    "Silvio Reggiani"
  ],
  "comment": "8 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "By a recent result, it is known that compact homogeneous spaces with co-index of symmetry 4 are quotients of a semisimple Lie group of dimension at most 10. In this paper we determine exactly which ones of these spaces actually admit such a metric. For all the admissible spaces we construct explicit examples of these metrics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-12T02:21:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "53C35"
    ],
    "keywords": [
      "manifolds admitting",
      "semisimple lie group",
      "construct explicit examples",
      "compact homogeneous spaces",
      "admissible spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}