{
  "id": "1003.3246",
  "version": "v1",
  "published": "2010-03-16T20:52:19.000Z",
  "updated": "2010-03-16T20:52:19.000Z",
  "title": "Rigidity of Entire self-shrinking solutions to curvature flows",
  "authors": [
    "Albert Chau",
    "Jingyi Chen",
    "Yu Yuan"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We show that (a) any entire graphic self-shrinking solution to the Lagrangian mean curvature flow in ${\\mathbb C}^{m}$ with the Euclidean metric is flat; (b) any space-like entire graphic self-shrinking solution to the Lagrangian mean curvature flow in ${\\mathbb C}^{m}$ with the pseudo-Euclidean metric is flat if the Hessian of the potential is bounded below quadratically; and (c) the Hermitian counterpart of (b) for the K\\\"ahler Ricci flow.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-16T20:52:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53A10"
    ],
    "keywords": [
      "entire self-shrinking solutions",
      "lagrangian mean curvature flow",
      "space-like entire graphic self-shrinking solution",
      "hermitian counterpart",
      "euclidean metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.3246C"
    }
  }
}