{
  "id": "math/0412047",
  "version": "v1",
  "published": "2004-12-02T09:57:12.000Z",
  "updated": "2004-12-02T09:57:12.000Z",
  "title": "A priori estimates for the scalar curvature equation on $S^3$",
  "authors": [
    "Matthias Schneider"
  ],
  "comment": "36 pages",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We obtain a priori estimates for solutions to the prescribed scalar curvature equation on $S^3$. The usual non-degeneracy assumption on the curvature function is replaced by a new condition, which is necessary and sufficient for the existence of a priori estimates, when the curvature function is a positive Morse function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-02T09:57:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J20",
      "55C21"
    ],
    "keywords": [
      "priori estimates",
      "curvature function",
      "prescribed scalar curvature equation",
      "usual non-degeneracy assumption",
      "positive morse function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12047S"
    }
  }
}