{
  "id": "1202.4624",
  "version": "v1",
  "published": "2012-02-21T12:45:00.000Z",
  "updated": "2012-02-21T12:45:00.000Z",
  "title": "Associated Families of Immersions of Three Dimensional CR Manifolds in Euclidean Spaces",
  "authors": [
    "Andrea Altomani",
    "Marie-Amélie Lawn"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We consider isometric immersions in arbitrary codimension of three-dimensional strongly pseudoconvex pseudo-hermitian CR manifolds into the Euclidean space $\\mathbb{R}^n$ and generalize in a natural way the notion of associated family. We show that the existence of such deformations turns out to be very restrictive and we give a complete classification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-21T12:45:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53A07",
      "32V10",
      "53D10"
    ],
    "keywords": [
      "dimensional cr manifolds",
      "euclidean space",
      "associated family",
      "immersions",
      "strongly pseudoconvex pseudo-hermitian cr manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.4624A"
    }
  }
}