{
  "id": "1410.5856",
  "version": "v1",
  "published": "2014-10-21T21:05:12.000Z",
  "updated": "2014-10-21T21:05:12.000Z",
  "title": "A rigidity theorem for codimension one shrinking gradient Ricci solitons in $\\mathbb R^{n+1}$",
  "authors": [
    "Pengfei Guan",
    "Peng Lu",
    "Yiyan Xu"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove a splitting theorem for complete gradient Ricci soliton with nonnegative curvature and establish a rigidity theorem for codimension one complete shrinking gradient Ricci soliton in $\\mathbb R^{n+1}$ with nonnegative Ricci curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-21T21:05:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rigidity theorem",
      "codimension",
      "complete shrinking gradient ricci soliton",
      "complete gradient ricci soliton",
      "nonnegative ricci curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.5856G"
    }
  }
}