{
  "id": "1812.00710",
  "version": "v1",
  "published": "2018-12-03T12:33:45.000Z",
  "updated": "2018-12-03T12:33:45.000Z",
  "title": "Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension",
  "authors": [
    "Brendan Guilfoyle",
    "Wilhelm Klingenberg"
  ],
  "comment": "19 pages LaTEX, to appear in Trans. Amer. Math. Soc. Essentially this is Section 3 of the Proof of the Caratheodory Conjecture by the same authors, which is posted at arXiv: arXiv:0808.0851",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove long-time existence for mean curvature flow of a smooth $n$-dimensional spacelike submanifold of an $n+m$ dimensional manifold whose metric satisfies the timelike curvature condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-03T12:33:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean curvature flow",
      "compact spacelike submanifolds",
      "higher codimension",
      "long-time existence",
      "dimensional spacelike submanifold"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}