{
  "id": "1703.00090",
  "version": "v1",
  "published": "2017-02-28T23:55:18.000Z",
  "updated": "2017-02-28T23:55:18.000Z",
  "title": "Lagrangian Mean Curvature Flows and Moment maps",
  "authors": [
    "Hiroshi Konno"
  ],
  "comment": "34 pages, 1 figure",
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "abstract": "In this paper, we construct various examples of Lagrangian mean curvature flows in Calabi-Yau manifolds, using moment maps for actions of abelian Lie groups on them. The examples include Lagrangian self-shrinkers and translating solitons in the Euclid spaces. We also construct Lagrangian mean curvature flows in non-flat Calabi-Yau manifolds. In particular, we describe Lagrangian mean curvature flows in 4-dimensional Ricci-flat ALE spaces in detail and investigate their singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-28T23:55:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53D12",
      "53D20"
    ],
    "keywords": [
      "moment maps",
      "construct lagrangian mean curvature flows",
      "abelian lie groups",
      "non-flat calabi-yau manifolds",
      "ricci-flat ale spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}