{
  "id": "math/0510462",
  "version": "v2",
  "published": "2005-10-21T13:41:08.000Z",
  "updated": "2009-05-07T17:55:00.000Z",
  "title": "Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces",
  "authors": [
    "Guanghan Li",
    "Isabel Salavessa",
    "Chuanxi Wu"
  ],
  "comment": "12 pages, Latex v2 is a largely extended new version",
  "categories": [
    "math.DG"
  ],
  "abstract": "We classify the self-similar solutions to a class of Weingarten curvature flow of connected compact convex hypersurfaces, isometrically immersed into space forms with non-positive curvature, and obtain a new characterization of a sphere in a Euclidean space $\\R^{n+1}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-05-07T17:55:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C24",
      "53C44"
    ],
    "keywords": [
      "self-similar solutions",
      "weingarten curvature flow",
      "connected compact convex hypersurfaces",
      "euclidean space",
      "space forms"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10462L"
    }
  }
}