{
  "id": "0711.4341",
  "version": "v1",
  "published": "2007-11-27T20:15:10.000Z",
  "updated": "2007-11-27T20:15:10.000Z",
  "title": "Translating solutions to Lagrangian mean curvature flow",
  "authors": [
    "André Neves",
    "Gang Tian"
  ],
  "comment": "26 pages, 1 figure, submitted",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an $L^2$ bound on the mean curvature are planes and that almost-calibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-11-27T20:15:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "lagrangian mean curvature flow",
      "non-existence theorems",
      "almost-calibrated translating solutions",
      "conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.4341N"
    }
  }
}