{
  "id": "math/0611253",
  "version": "v1",
  "published": "2006-11-09T02:23:16.000Z",
  "updated": "2006-11-09T02:23:16.000Z",
  "title": "Boundary behaviors and scalar curvature of compact manifolds",
  "authors": [
    "Yuguang Shi",
    "Luen-Fai Tam"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, by modifying the arguments in \\cite{WY}, we get some rigidity theorems on compact manifolds with nonempty boundary. The results in this paper are similar with those in \\cite{ST} and \\cite{WY}. Like \\cite{ST} and \\cite{WY}, we still use quasi-spherical metrics introduced by \\cite{Ba} to get monotonicity of some quantities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-09T02:23:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20",
      "83C99"
    ],
    "keywords": [
      "compact manifolds",
      "boundary behaviors",
      "scalar curvature",
      "rigidity theorems",
      "nonempty boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11253S"
    }
  }
}