{
  "id": "0906.4305",
  "version": "v2",
  "published": "2009-06-23T16:52:02.000Z",
  "updated": "2010-08-14T17:03:36.000Z",
  "title": "Construction of Hamiltonian-minimal Lagrangian submanifolds in complex Euclidean space",
  "authors": [
    "Henri Anciaux",
    "Ildefonso Castro"
  ],
  "comment": "23 pages, 5 figures, Second version. Changes in statement and proof of Corollary 4",
  "categories": [
    "math.DG"
  ],
  "abstract": "We describe several families of Lagrangian submanifolds in the complex Euclidean space which are H-minimal, i.e. critical points of the volume functional restricted to Hamiltonian variations. We make use of various constructions involving planar, spherical and hyperbolic curves, as well as Legendrian submanifolds of the odd-dimensional unit sphere.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-14T17:03:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53D12",
      "53A07"
    ],
    "keywords": [
      "complex euclidean space",
      "hamiltonian-minimal lagrangian submanifolds",
      "construction",
      "odd-dimensional unit sphere",
      "legendrian submanifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4305A"
    }
  }
}