{
  "id": "math/0703645",
  "version": "v2",
  "published": "2007-03-21T20:01:40.000Z",
  "updated": "2008-04-15T11:25:57.000Z",
  "title": "Cyclic and ruled Lagrangian surfaces in complex Euclidean space",
  "authors": [
    "Henri Anciaux",
    "Pascal Romon"
  ],
  "journal": "Bulletin Brazilian Mathematical Society 40, 3 (2009) 341-369",
  "doi": "10.1007/s00574-009-0015-y",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study those Lagrangian surfaces in complex Euclidean space which are foliated by circles or by straight lines. The former, which we call cyclic, come in three types, each one being described by means of, respectively, a planar curve, a Legendrian curve of the 3-sphere or a Legendrian curve of the anti de Sitter 3-space. We also describe ruled Lagrangian surfaces. Finally we characterize those cyclic and ruled Lagrangian surfaces which are solutions to the self-similar equation of the Mean Curvature Flow. Finally, we give a partial result in the case of Hamiltonian stationary cyclic surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-15T11:25:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D12",
      "53C42"
    ],
    "keywords": [
      "ruled lagrangian surfaces",
      "complex euclidean space",
      "legendrian curve",
      "hamiltonian stationary cyclic surfaces",
      "mean curvature flow"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3645A"
    }
  }
}