{
  "id": "1204.3031",
  "version": "v1",
  "published": "2012-04-13T15:50:49.000Z",
  "updated": "2012-04-13T15:50:49.000Z",
  "title": "On the existence of nilsolitons on 2-step nilpotent Lie groups",
  "authors": [
    "David Oscari"
  ],
  "comment": "13 pages. arXiv admin note: text overlap with arXiv:1008.3417",
  "categories": [
    "math.DG",
    "math.RT"
  ],
  "abstract": "A 2-step nilpotent Lie algebra n is said to be of type (p,q)if dim(n)=p+q and dim([n,n])=p. By considering a class of 2-step nilpotent Lie algebras naturally attached to graphs, we prove that there exist indecomposable, 2-step nilpotent Lie groups of type (p,q) which do not admit a nilsoliton metric for every pair (p,q) such that 20 < q and q-2 < p < 1/2q^2-5/2q+10. This improves a result due to Jablonski.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-13T15:50:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nilpotent lie groups",
      "nilpotent lie algebra",
      "nilsoliton metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.3031O"
    }
  }
}