{
  "id": "0906.4920",
  "version": "v1",
  "published": "2009-06-26T16:40:02.000Z",
  "updated": "2009-06-26T16:40:02.000Z",
  "title": "Backwards uniqueness of the Ricci flow",
  "authors": [
    "Brett Kotschwar"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper, we prove a unique continuation or ``backwards-uniqueness'' theorem for solutions to the Ricci flow. A particular consequence is that the isometry group of a solution cannot expand within the lifetime of the solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-26T16:40:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J35",
      "35K55"
    ],
    "keywords": [
      "ricci flow",
      "backwards uniqueness",
      "unique continuation",
      "isometry group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4920K"
    }
  }
}