{
  "id": "1312.7461",
  "version": "v1",
  "published": "2013-12-28T18:42:17.000Z",
  "updated": "2013-12-28T18:42:17.000Z",
  "title": "Homogeneous Ricci solitons in low dimensions",
  "authors": [
    "Romina M. Arroyo",
    "Ramiro Lafuente"
  ],
  "comment": "20 pages, 3 tables; Appendix by Jorge Lauret",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this article we classify expanding homogeneous Ricci solitons up to dimension 5, according to their presentation as homogeneous spaces. We obtain that they are all isometric to solvsolitons, and this in particular implies that the generalized Alekseevskii conjecture holds in these dimensions. In addition, we prove that the conjecture holds in dimension 6 provided the transitive group is not semisimple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-28T18:42:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C30"
    ],
    "keywords": [
      "low dimensions",
      "generalized alekseevskii conjecture holds",
      "classify expanding homogeneous ricci solitons",
      "solvsolitons"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.7461A"
    }
  }
}