{
  "id": "1702.05535",
  "version": "v1",
  "published": "2017-02-17T22:28:28.000Z",
  "updated": "2017-02-17T22:28:28.000Z",
  "title": "A Lower Bound for the Number of Central Configurations on H^2",
  "authors": [
    "Shuqiang Zhu"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "We study the indices of the geodesic central configurations on $\\H^2$. We then show that central configurations are bounded away from the singularity set. With Morse's inequality, we get a lower bound for the number of central configurations on $\\H^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-17T22:28:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower bound",
      "geodesic central configurations",
      "singularity set",
      "morses inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}