{
  "id": "math/0604059",
  "version": "v2",
  "published": "2006-04-04T04:10:22.000Z",
  "updated": "2009-10-14T13:52:06.000Z",
  "title": "Partial convexity to the heat equation",
  "authors": [
    "Li Ma"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper, we study the partial convexity of smooth solutions to the heat equation on a compact or complete non-compact Riemannian manifold M or Kahler-Ricci flow. We show that under a natural assumption, a new partial convexity property for smooth solutions to the heat equation is preserved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-14T13:52:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53Cxx"
    ],
    "keywords": [
      "heat equation",
      "complete non-compact riemannian manifold",
      "smooth solutions",
      "partial convexity property",
      "kahler-ricci flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4059M"
    }
  }
}