{
  "id": "1303.6391",
  "version": "v1",
  "published": "2013-03-26T06:02:40.000Z",
  "updated": "2013-03-26T06:02:40.000Z",
  "title": "Noether invariants for constant mean curvature surfaces in 3-dimensional homogeneous spaces",
  "authors": [
    "Sébastien Cartier"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give explicit formul{\\ae} for Noether invariants associated to Killing vector fields for the variational problem of minimal and constant mean curvature surfaces in 3-manifolds. In the case of homogeneous spaces, such invariants are the flux (associated to translations) and the torque (associated to rotations). Then we focus on homogeneous spaces with isometry groups of dimensions 3 or 4 and study the behavior of these invariants under the action of isometries. Finally, we give examples of actual computations and of interpretations of these invariants in different situations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-26T06:02:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "constant mean curvature surfaces",
      "homogeneous spaces",
      "killing vector fields",
      "variational problem",
      "isometry groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6391C"
    }
  }
}