{
  "id": "1210.0571",
  "version": "v1",
  "published": "2012-10-01T20:44:31.000Z",
  "updated": "2012-10-01T20:44:31.000Z",
  "title": "Well-rounded sublattices and coincidence site lattices",
  "authors": [
    "Peter Zeiner"
  ],
  "comment": "6 pages",
  "categories": [
    "math.MG",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "A lattice is called well-rounded, if its lattice vectors of minimal length span the ambient space. We show that there are interesting connections between the existence of well-rounded sublattices and coincidence site lattices (CSLs). Furthermore, we count the number of well-rounded sublattices for several planar lattices and give their asymptotic behaviour.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-01T20:44:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20H15",
      "51F15",
      "11H50",
      "11H31",
      "11M41",
      "40E10"
    ],
    "keywords": [
      "coincidence site lattices",
      "well-rounded sublattices",
      "minimal length span",
      "asymptotic behaviour",
      "planar lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.0571Z"
    }
  }
}