{
  "id": "1910.08059",
  "version": "v1",
  "published": "2019-10-17T17:45:16.000Z",
  "updated": "2019-10-17T17:45:16.000Z",
  "title": "Rigidity theorems of spacelike self-shrinkers in the pseudo-Euclidean space",
  "authors": [
    "Hongbing Qiu",
    "Linlin Sun"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we show that any spacelike $m$-submanifold which is closed with respect to the Euclidean topology in the pseudo-Euclidean space $\\mathbb{R}^{m+n}_n$ is an entire graph, then we establish a new volume growth estimate. As applications, by using this volume growth estimate and the Co-Area formula, we prove various rigidity results for spacelike entire self-shrinking graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-17T17:45:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "pseudo-euclidean space",
      "rigidity theorems",
      "spacelike self-shrinkers",
      "volume growth estimate",
      "co-area formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}