{
  "id": "1504.05577",
  "version": "v1",
  "published": "2015-04-21T11:14:56.000Z",
  "updated": "2015-04-21T11:14:56.000Z",
  "title": "An upper diameter bound for compact Ricci solitons with applications to the Hitchin-Thorpe inequality",
  "authors": [
    "Homare Tadano"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1504.05384",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this article, stimulated by Fernandez-Lopez and Garcia-Rio, we shall give an upper diameter bound for compact Ricci solitons in terms of the range of the scalar curvature. As an application, we shall provide some sufficient conditions for four-dimensional compact Ricci solitons to satisfy the Hitchin-Thorpe inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-21T11:14:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53C20",
      "53C25"
    ],
    "keywords": [
      "upper diameter bound",
      "hitchin-thorpe inequality",
      "application",
      "four-dimensional compact ricci solitons",
      "scalar curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150405577T"
    }
  }
}