{
  "id": "0810.3307",
  "version": "v1",
  "published": "2008-10-18T10:44:45.000Z",
  "updated": "2008-10-18T10:44:45.000Z",
  "title": "Existence of isometric immersions into nilpotent Lie groups",
  "authors": [
    "J. H. de Lira",
    "M. Melo"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We establish necessary and sufficient conditions for existence of isometric immersions of a simply connected Riemannian manifold into a two-step nilpotent Lie group. This comprises the case of immersions into $H$-type groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-18T10:44:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42"
    ],
    "keywords": [
      "isometric immersions",
      "two-step nilpotent lie group",
      "sufficient conditions",
      "simply connected riemannian manifold",
      "type groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.3307D"
    }
  }
}