{
  "id": "0809.4908",
  "version": "v2",
  "published": "2008-09-29T08:19:27.000Z",
  "updated": "2013-11-30T03:59:35.000Z",
  "title": "The signature of the Ricci curvature of left invariant Riemannian metrics on 4-dimensional Lie groups",
  "authors": [
    "A. G. Kremlyov",
    "Yu. G. Nikonorov"
  ],
  "comment": "12 pages, extended and corrected version",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we present the classification of all possible signatures of the Ricci curvature of left-invariant Riemannian metrics on 4-dimensional Lie groups and discuss some related questions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-30T03:59:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20"
    ],
    "keywords": [
      "left invariant riemannian metrics",
      "ricci curvature",
      "lie groups",
      "left-invariant riemannian metrics",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4908K"
    }
  }
}