{
  "id": "math/0207130",
  "version": "v3",
  "published": "2002-07-16T14:27:56.000Z",
  "updated": "2003-10-19T19:12:49.000Z",
  "title": "Mean Curvature Flow, Orbits, Moment Maps",
  "authors": [
    "T. Pacini"
  ],
  "comment": "18 pages; minor changes",
  "journal": "Trans. A.M.S., vol. 355 n. 8 (2003), pp. 3343-3357",
  "categories": [
    "math.DG"
  ],
  "abstract": "Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbits and some applications: eg, finding minimal orbits. We then specialize to Lagrangian orbits in Kaehler manifolds. In particular, in the Kaehler-Einstein case we find a relation between MCF and moment maps which, for example, proves that the minimal Lagrangian orbits are isolated.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-10-19T19:12:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "53C42",
      "53D20"
    ],
    "keywords": [
      "mean curvature flow",
      "moment maps",
      "minimal lagrangian orbits",
      "compact riemannian manifold",
      "finding minimal orbits"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7130P"
    }
  }
}