{
  "id": "1101.0638",
  "version": "v1",
  "published": "2011-01-04T02:05:13.000Z",
  "updated": "2011-01-04T02:05:13.000Z",
  "title": "On the Extension of the Calabi Flow on Toric Varieties",
  "authors": [
    "Hongnian Huang"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "Inspired by recent work of S. K. Donaldson on constant scalar curvature metrics on toric complex surfaces, we study obstructions to the extension of the Calabi flow on a polarized toric variety. Under some technical assumptions, we prove that the Calabi flow can be extended for all time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-04T02:05:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "calabi flow",
      "constant scalar curvature metrics",
      "toric complex surfaces",
      "study obstructions",
      "polarized toric variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.0638H"
    }
  }
}