{
  "id": "1410.1700",
  "version": "v1",
  "published": "2014-10-07T12:06:00.000Z",
  "updated": "2014-10-07T12:06:00.000Z",
  "title": "Cohomogeneity one actions on Minkowski spaces",
  "authors": [
    "Jurgen Berndt",
    "Jose Carlos Diaz-Ramos",
    "Mohammad Javad Vanaei"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We study isometric cohomogeneity one actions on the (n+1)-dimensional Minkowski space up to orbit-equivalence. We give examples of isometric cohomogeneity one actions on the Minkowski space whose orbit spaces are non-Hausdorff. We show that there exist isometric cohomogeneity one actions on the Minkowski space which are orbit-equivalent on the complement of an n-dimensional degenerate subspace and not orbit-equivalent on this degenerate subspace. We classify isometric cohomogeneity one actions on 2- and 3-dimensional Minkowski spaces up to orbit-equivalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-07T12:06:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C50"
    ],
    "keywords": [
      "minkowski space",
      "study isometric cohomogeneity",
      "n-dimensional degenerate subspace",
      "orbit-equivalence",
      "classify isometric cohomogeneity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.1700B"
    }
  }
}