{
  "id": "1704.08226",
  "version": "v1",
  "published": "2017-04-26T17:29:23.000Z",
  "updated": "2017-04-26T17:29:23.000Z",
  "title": "Uniqueness and persistence of minimal Lagrangian submanifolds",
  "authors": [
    "Jason D. Lotay",
    "Tommaso Pacini"
  ],
  "comment": "18 pages, comments welcome",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that, in a negative K\\\"ahler--Einstein manifold M, compact minimal Lagrangian submanifolds L are locally unique and for any small K\\\"ahler--Einstein perturbation of M there corresponds a deformation of L which is minimal Lagrangian with respect to the new structure. This provides a new source of examples of minimal Lagrangians. Our results are a simple application of the J-volume functional discussed in arXiv:1404.4227, arXiv:1506.04630",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-26T17:29:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uniqueness",
      "persistence",
      "compact minimal lagrangian submanifolds",
      "simple application",
      "j-volume functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}