{
  "id": "math/0206055",
  "version": "v1",
  "published": "2002-06-06T15:29:54.000Z",
  "updated": "2002-06-06T15:29:54.000Z",
  "title": "The Cheeger constant of simply connected, solvable Lie groups",
  "authors": [
    "Norbert Peyerimhoff",
    "Evangelia Samiou"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that the Cheeger isoperimetric constant of a solvable simply connected Lie group $G$ with Lie algebra $\\G$ is $h(G)=\\max_{H\\in\\G,||H||=1} \\tr(\\ad (H))$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-06T15:29:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "solvable lie groups",
      "cheeger constant",
      "cheeger isoperimetric constant",
      "solvable simply connected lie group",
      "lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6055P"
    }
  }
}