{
  "id": "1012.1217",
  "version": "v2",
  "published": "2010-12-06T16:12:23.000Z",
  "updated": "2011-05-30T16:02:40.000Z",
  "title": "On the injectivity radius and tangent cones at infinity of gradient Ricci solitons",
  "authors": [
    "Chih-Wei Chen"
  ],
  "comment": "The paper has been divided into two parts: one is concerned with the injectivity radius in the view of classical geometry, the other has been developed into the following article: Volume Estimates And The Asymptotic Behavior of Expanding Gradient Ricci Solitons",
  "categories": [
    "math.DG"
  ],
  "abstract": "A lower-bound estimate of injectivity radius for complete Riemannian manifolds is discussed in a pure geometric viewpoint and is applied to study tangent cones at in?nity of certain gradient Ricci solitons. We also study the asymptotic volume ratio of gradient Ricci solitons.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-30T16:02:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53C22"
    ],
    "keywords": [
      "gradient ricci solitons",
      "injectivity radius",
      "complete riemannian manifolds",
      "pure geometric viewpoint",
      "study tangent cones"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.1217C"
    }
  }
}