{
  "id": "1410.6912",
  "version": "v1",
  "published": "2014-10-25T11:11:02.000Z",
  "updated": "2014-10-25T11:11:02.000Z",
  "title": "Locally homogeneous nearly Kähler manifolds",
  "authors": [
    "Vicente Cortés",
    "José J. Vásquez"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We construct locally homogeneous 6-dimensional nearly K\\\"ahler manifolds as quotients of homogeneous nearly K\\\"ahler manifolds $M$ by freely acting finite subgroups of $Aut_0(M)$. We show that non-trivial such groups do only exists if $M=S^3\\times S^3$. In that case we classify all freely acting subgroups of $Aut_0(M)=SU (2) \\times SU (2) \\times SU (2)$ of the form $A\\times B$, where $A\\subset SU (2) \\times SU (2)$ and $B\\subset SU (2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-25T11:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25"
    ],
    "keywords": [
      "kähler manifolds",
      "locally homogeneous",
      "freely acting finite subgroups",
      "non-trivial",
      "freely acting subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.6912C"
    }
  }
}